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author | Karl Berry <karl@freefriends.org> | 2013-03-10 22:26:08 +0000 |
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committer | Karl Berry <karl@freefriends.org> | 2013-03-10 22:26:08 +0000 |
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tree | 0df63c3a27ebcf05f5442a1273c9a1bca3f16070 /Master/texmf-dist/doc/latex/amsrefs | |
parent | 5d3c138f1e0130260df2854f9c75cbae0020d43c (diff) |
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diff --git a/Master/texmf-dist/doc/latex/amsrefs/amsrefs.pdf b/Master/texmf-dist/doc/latex/amsrefs/amsrefs.pdf Binary files differindex 8497cf04051..19ab9406af0 100644 --- a/Master/texmf-dist/doc/latex/amsrefs/amsrefs.pdf +++ b/Master/texmf-dist/doc/latex/amsrefs/amsrefs.pdf diff --git a/Master/texmf-dist/doc/latex/amsrefs/cite-xa.tex b/Master/texmf-dist/doc/latex/amsrefs/cite-xa.tex new file mode 100644 index 00000000000..4444fd5ce66 --- /dev/null +++ b/Master/texmf-dist/doc/latex/amsrefs/cite-xa.tex @@ -0,0 +1,253 @@ +%% filename: cite-xa.tex +%% version: 1.00 +%% date: 2004/06/30 +%% +%% American Mathematical Society +%% Technical Support +%% Publications Technical Group +%% 201 Charles Street +%% Providence, RI 02904 +%% USA +%% tel: (401) 455-4080 +%% (800) 321-4267 (USA and Canada only) +%% fax: (401) 331-3842 +%% email: tech-support@ams.org +%% +%% Copyright 2004, 2010 American Mathematical Society. +%% +%% This work may be distributed and/or modified under the +%% conditions of the LaTeX Project Public License, either version 1.3c +%% of this license or (at your option) any later version. +%% The latest version of this license is in +%% http://www.latex-project.org/lppl.txt +%% and version 1.3c or later is part of all distributions of LaTeX +%% version 2005/12/01 or later. +%% +%% This work has the LPPL maintenance status `maintained'. +%% +%% The Current Maintainer of this work is the American Mathematical +%% Society. +%% +%% ==================================================================== + +\documentclass{article} +\usepackage[author-year]{amsrefs} + +\newcommand{\latin}{\emph} + +\begin{document} + +\title{Evolutionary walks through a land plant morphospace} +\author{Karl J. Niklas} +\def\jinfo{Journal of Experimental Botany, Vol. 50, No. 330, pp. 39-52, + January 1999, \copyright\ Oxford University Press 1999} + +\maketitle +\section{Introduction} + +Wright's protocol has been successfully recast in terms of spatial +domains containing all (or at least many) of the conceivable +morphological variants (`morphospaces' \latin{sensu} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%Thomas and Reif, 1993). +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\ocite{TR93}). +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +In this paper, I review the construction of a morphospace for early land +plants +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%(Niklas and Kerchner, 1984; Niklas, 1997a, b) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\cites{NK84,N97-adaptive-walks,N97-effects} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +and show how it can be used \ldots. + +\ldots\ horizontally cantilevered branches impose the largest bending +moments on subtending branches +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%(Niklas, 1992, 1994a). +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\cites{N92,N94-allometry}. +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\ldots\ This definition removes the sharp dichotomy said to exist +between `object' and `process' complexity (i.e. the number of different +parts in an organic system versus the number of different interactions +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%among them; McShea, 1996). +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +among them \cite{M96}). +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\ldots\ fossil record for Devonian and Carboniferous vascular land +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%plants (Niklas et al., 1980, 1983; Gensel and Andrews, 1984). +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +plants \cites{NTK80,NTK83,GA84}. +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\begin{bibsection} +\begin{biblist} + +\bib*{HSW80}{collection}{ + editor={Hecht, M.}, + editor={Steere, W.}, + editor={Wallace, B.}, + date={1980}, + title={Evolutionary biology}, + publisher={Plenum Publishing}, + address={New York}, +} + +\bib{fn95}{article}{ + author={Farnsworth, K. D.}, + author={Niklas, K. J.}, + date={1995}, + title={Theories of optimization, form and function in branching + architectures in plants}, + journal={Functional Ecology}, + volume={9}, + pages={355\ndash 363}, +} + +\typeout{} +\typeout{ [Testing some of the amsrefs warning messages ...]} + +\bib{GMW81}{book}{ + author={Gill, P. E.}, + author={Murray, W.} + author={Wright, M. H.}, + date={1981}, + title={Practical optimization}, + publisher={Academic Press}, + address={London}, +} + +\bib{GA84}{book}{ + author={Gensel, P. G.}, + author={Andrews, H. N.}, + date={1984}, + title={Plant life in the Devonian}, + publisher={Praeger Press}, + address={New York}, +} + +\bib{M96}{article}{ + author={McShea, D. W.}, + date={1996}, + title={Metazoan complexity and evolution: is there a trend}, + journal={Evolution}, + volume={50}, + pages={477\ndash 492}, +} + +\bib{MWWW73}{book}{ + author={Meredith, D. D.}, + author={Wong, K. W.}, + author={Woodhead, R. W.}, + author={Wortman, R. H.}, + date={1973}, + title={Design and planning of engineering systems}, + publisher={Prentice-Hall}, + address={Englewood Cliffs, New Jersey}, +} + +\bib{N92}{book}{ + author={Niklas, K. J.}, + date={1992}, + title={Plant biomechanics: an engineering approach to plant form and + function}, + publisher={University of Chicago Press}, + address={Illinois}, +} + +\bib{N94-allometry}{book}{ + author={Niklas, K. J.}, + date={1994}, + title={Plant allometry: the scaling of form and process}, + publisher={University of Chicago Press}, + address={Illinois}, +} + +\bib{N94-simulation}{article}{ + author={Niklas, K. J.}, + date={1994}, + title={Simulation of organic shape: the roles of phenomenology and + mechanism}, + journal={Journal of Morphology}, + volume={219}, + pages={243\ndash 246}, +} + +\bib{N97-adaptive-walks}{article}{ + author={Niklas, K. J.}, + date={1997}, + title={Adaptive walks through fitness landscapes for early vascular + land plants}, + journal={American Journal of Botany}, + volume={84}, + pages={16\ndash 25}, +} + +\bib{N97-effects}{article}{ + author={Niklas, K. J.}, + date={1997}, + title={Effects of hypothetical developmental barriers and abrupt + environmental changes on adaptive walks in a computer-generated + domain for early vascular land plants}, + journal={Paleobiology}, + volume={23}, + pages={63\ndash 76}, +} + +\bib{NK84}{article}{ + author={Niklas, K. J.}, + author={Kerchner, V.}, + date={1984}, + title={Mechanical and photosynthetic constraints on the evolution of + plant shape}, + journal={Paleobiology}, + volume={10}, + pages={79\ndash 101}, +} + +\bib{NTK80}{article}{ + author={Niklas, K. J.}, + author={Tiffney, B. H.}, + author={Knoll, A. H.}, + date={1980}, + title={Apparent changes in the diversity of fossil plants: a + preliminary assessment}, + xref={HSW80}, + volume={12}, + pages={1\ndash 89}, +} + +\bib{NTK83}{article}{ + author={Niklas, K. J.}, + author={Tiffney, B. H.}, + author={Knoll, A. H.}, + date={1983}, + title={Patterns in vascular land plant diversification}, + journal={Nature}, + volume={303}, + pages={614\ndash 616}, +} + +\bib{TR93}{article}{ + author={Thomas, R. D. K.}, + author={Reif, W.-E.}, + % This is just to show what the warning looks like for an empty field: + author={}, + date={1993}, + title={The skeleton space: a finite set of organic designs}, + journal={Evolution}, + volume={47}, + pages={341\ndash 360}, +} + +\end{biblist} +\end{bibsection} + +\end{document} diff --git a/Master/texmf-dist/doc/latex/amsrefs/cite-xb.tex b/Master/texmf-dist/doc/latex/amsrefs/cite-xb.tex new file mode 100644 index 00000000000..87646eb51ae --- /dev/null +++ b/Master/texmf-dist/doc/latex/amsrefs/cite-xb.tex @@ -0,0 +1,130 @@ +%% filename: cite-xb.tex +%% version: 1.00 +%% date: 2004/06/30 +%% +%% American Mathematical Society +%% Technical Support +%% Publications Technical Group +%% 201 Charles Street +%% Providence, RI 02904 +%% USA +%% tel: (401) 455-4080 +%% (800) 321-4267 (USA and Canada only) +%% fax: (401) 331-3842 +%% email: tech-support@ams.org +%% +%% Copyright 2004, 2010 American Mathematical Society. +%% +%% This work may be distributed and/or modified under the +%% conditions of the LaTeX Project Public License, either version 1.3c +%% of this license or (at your option) any later version. +%% The latest version of this license is in +%% http://www.latex-project.org/lppl.txt +%% and version 1.3c or later is part of all distributions of LaTeX +%% version 2005/12/01 or later. +%% +%% This work has the LPPL maintenance status `maintained'. +%% +%% The Current Maintainer of this work is the American Mathematical +%% Society. +%% +%% ==================================================================== + +\documentclass{amsart} + +\usepackage{amsrefs} + +\newtheorem{thm}{Theorem}[section] + +\begin{document} + +\title{Citation tests} + +\author{Michael Downes} + + The following examples are derived from + \emph{Homology manifold bordism} by Heather Johnston and Andrew + Ranicki (Trans.\ Amer.\ Math.\ Soc.\ \textbf{352} no 11 (2000), PII: S + 0002-9947(00)02630-1). + +\bigskip \noindent \rule{\columnwidth}{0.5pt}\par + +\setcounter{section}{3} + +The results of Johnston \cite{Jo} on homology +manifolds are extended here. It is not +possible to investigate transversality by +geometric methods---as in \cite{Jo} we employ +bordism and surgery instead. + +The proof of transversality is indirect, +relying heavily on surgery theory\mdash see +Kirby and Siebenmann \cite{KS}*{III, \S 1}, +Marin \cite{M} and Quinn \cite{Q3}. We shall +use the formulation in terms of topological +block bundles of Rourke and Sanderson +\cite{RS}. + +$Q$ is a codimension $q$ subspace by Theorem +4.9 of Rourke and Sanderson \cite{RS}. +(Hughes, Taylor and Williams \cite{HTW} +obtained a topological regular neighborhood +theorem for arbitrary submanifolds \dots.) + +Wall \cite{Wa}*{Chapter 11} obtained a +codimension $q$ splitting obstruction \dots. + +\dots\ following the work of Cohen \cite{Co} +on $PL$ manifold transversality. + +In this case each inverse image is +automatically a $PL$ submanifold of +codimension $\sigma$ (Cohen \cite{Co}), so +there is no need to use $s$-cobordisms. + +Quinn \cite{Q2}*{1.1} proved that \dots + +\begin{thm}[The additive structure of + homology manifold bordism, Johnston + \cite{Jo}] +\dots +\end{thm} + +For $m\geq 5$ the Novikov-Wall surgery theory +for topological manifolds gives an exact +sequence (Wall \cite{Wa}*{Chapter 10}. + +The surgery theory of topological manifolds +was extended to homology manifolds in Quinn +\cites{Q1,Q2} and Bryant, Ferry, Mio +and Weinberger \cite{BFMW}. + +The 4-periodic obstruction is equivalent to +an $m$-dimensional homology manifold, by +\cite{BFMW}. + +Thus, the surgery exact sequence of +\cite{BFMW} does not follow Wall \cite{Wa} in +relating homology manifold structures and +normal invariants. + +\dots\ the canonical $TOP$ reduction +(\cite{FP}) of the Spivak normal fibration of +$M$ \dots + +\begin{thm}[Johnston \cite{Jo}] +\dots +\end{thm} + +Actually \cite{Jo}*{(5.2)} is for $m\geq 7$, +but we can improve to $m\geq 6$ by a slight +variation of the proof as described below. + +(This type of surgery on a Poincar\'e space +is in the tradition of Lowell Jones +\cite{Jn}.) + +\bibliographystyle{amsxport} +\bibliography{jr} + +\end{document} diff --git a/Master/texmf-dist/doc/latex/amsrefs/cite-xh.tex b/Master/texmf-dist/doc/latex/amsrefs/cite-xh.tex new file mode 100644 index 00000000000..d0b50a72848 --- /dev/null +++ b/Master/texmf-dist/doc/latex/amsrefs/cite-xh.tex @@ -0,0 +1,143 @@ +%% filename: cite-xh.tex +%% version: 1.00 +%% date: 2004/06/30 +%% +%% American Mathematical Society +%% Technical Support +%% Publications Technical Group +%% 201 Charles Street +%% Providence, RI 02904 +%% USA +%% tel: (401) 455-4080 +%% (800) 321-4267 (USA and Canada only) +%% fax: (401) 331-3842 +%% email: tech-support@ams.org +%% +%% Copyright 2004, 2010 American Mathematical Society. +%% +%% This work may be distributed and/or modified under the +%% conditions of the LaTeX Project Public License, either version 1.3c +%% of this license or (at your option) any later version. +%% The latest version of this license is in +%% http://www.latex-project.org/lppl.txt +%% and version 1.3c or later is part of all distributions of LaTeX +%% version 2005/12/01 or later. +%% +%% This work has the LPPL maintenance status `maintained'. +%% +%% The Current Maintainer of this work is the American Mathematical +%% Society. +%% +%% ==================================================================== + +%&pdfelatex +%% This is intended to be a working example of using the amsrefs +%% backrefs option in conjunction with hyperref. It works for me using +%% pdflatex [mjd,2002-01-03]. Cf testbib.tex in the hyperref distrib. +%% +%% This is pdfTeX, Version 3.14159-14h-released-20010417 (Web2C 7.3.3.1) +%% (format=pdflatex 2001.12.21) +%% Package: hyperref 2000/01/22 v6.69c Hypertext links for LaTeX + +\documentclass{article} +\usepackage{times} +\usepackage[colorlinks,citecolor=red,pagebackref,hypertexnames=false]{hyperref} +\usepackage[backrefs]{amsrefs} + +\newtheorem{thm}{Theorem}[section] + +\providecommand{\MR}{} + +\begin{document} +\title{Testing amsrefs with the hyperref package} +\author{MJD} +\maketitle + + The following examples are derived from + \emph{Homology manifold bordism} by Heather Johnston and Andrew + Ranicki (Trans.\ Amer.\ Math.\ Soc.\ \textbf{352} no 11 (2000), PII: S + 0002-9947(00)02630-1). + +\setcounter{section}{3} +\section{Homology manifold bordism} + +The results of Johnston \cite{Jo} on homology +manifolds are extended here. It is not +possible to investigate transversality by +geometric methods---as in \cite{Jo} we employ +bordism and surgery instead. + +%Kirby and Siebenmann \cite{KS} (III,\S 1), +The proof of transversality is indirect, +relying heavily on surgery theory\mdash see +Kirby and Siebenmann \cite{KS}*{III, \S 1}, +Marin \cite{M} and Quinn \cite{Q3}. We shall +use the formulation in terms of topological +block bundles of Rourke and Sanderson +\cite{RS}. + +$Q$ is a codimension $q$ subspace by Theorem +4.9 of Rourke and Sanderson \cite{RS}. +(Hughes, Taylor and Williams \cite{HTW} +obtained a topological regular neighborhood +theorem for arbitrary submanifolds \dots.) + +%Wall \cite{Wa} (Chapter 11) obtained a +Wall \cite{Wa}*{Chapter 11} obtained a +codimension $q$ splitting obstruction \dots. + +\dots\ following the work of Cohen \cite{Co} +on $PL$ manifold transversality. + +In this case each inverse image is +automatically a $PL$ submanifold of +codimension $\sigma$ (Cohen \cite{Co}), so +there is no need to use $s$-cobordisms. + +%Quinn (\cite{Q2}, 1.1) proved that \dots +Quinn \cite{Q2}*{1.1} proved that \dots + +\begin{thm}[The additive structure of + homology manifold bordism, Johnston + \cite{Jo}] +\dots +\end{thm} + +For $m\geq 5$ the Novikov-Wall surgery theory +for topological manifolds gives an exact +sequence (Wall \cite{Wa}*{Chapter 10}. + +The surgery theory of topological manifolds +was extended to homology manifolds in Quinn +\cites{Q1,Q2} and Bryant, Ferry, Mio +and Weinberger \cite{BFMW}. + +The 4-periodic obstruction is equivalent to +an $m$-dimensional homology manifold, by +\cite{BFMW}. + +Thus, the surgery exact sequence of +\cite{BFMW} does not follow Wall \cite{Wa} in +relating homology manifold structures and +normal invariants. + +\dots\ the canonical $TOP$ reduction +(\cite{FP}) of the Spivak normal fibration of +$M$ \dots + +\begin{thm}[Johnston \cite{Jo}] +\dots +\end{thm} + +Actually \cite{Jo}*{(5.2)} is for $m\geq 7$, +but we can improve to $m\geq 6$ by a slight +variation of the proof as described below. + +(This type of surgery on a Poincar\'e space +is in the tradition of Lowell Jones +\cite{Jn}.) + +\bibliographystyle{amsxport} +\bibliography{jr} + +\end{document} diff --git a/Master/texmf-dist/doc/latex/amsrefs/cite-xs.tex b/Master/texmf-dist/doc/latex/amsrefs/cite-xs.tex new file mode 100644 index 00000000000..a4f2eae6e88 --- /dev/null +++ b/Master/texmf-dist/doc/latex/amsrefs/cite-xs.tex @@ -0,0 +1,51 @@ +%% filename: cite-xs.tex +%% version: 1.00 +%% date: 2004/06/30 +%% +%% American Mathematical Society +%% Technical Support +%% Publications Technical Group +%% 201 Charles Street +%% Providence, RI 02904 +%% USA +%% tel: (401) 455-4080 +%% (800) 321-4267 (USA and Canada only) +%% fax: (401) 331-3842 +%% email: tech-support@ams.org +%% +%% Copyright 2004, 2010 American Mathematical Society. +%% +%% This work may be distributed and/or modified under the +%% conditions of the LaTeX Project Public License, either version 1.3c +%% of this license or (at your option) any later version. +%% The latest version of this license is in +%% http://www.latex-project.org/lppl.txt +%% and version 1.3c or later is part of all distributions of LaTeX +%% version 2005/12/01 or later. +%% +%% This work has the LPPL maintenance status `maintained'. +%% +%% The Current Maintainer of this work is the American Mathematical +%% Society. +%% +%% ==================================================================== + +\documentclass{amsart} +\usepackage{amsrefs} + +\begin{document} + +\section{Introduction} + +A single cite \cite{MR1451594} +and a multiple \cites{Weyl,Gould,Rob,MR95f:17013,Ser77}. +And then with an option in the middle: +\citelist{\cite{Rob} \cite{Gould} \cite{MR95f:17013}*{Chapter 18}}. + +\begin{bibsection} +\begin{biblist} +\bibselect{gktest} +\end{biblist} +\end{bibsection} + +\end{document} diff --git a/Master/texmf-dist/doc/latex/amsrefs/gktest.ltb b/Master/texmf-dist/doc/latex/amsrefs/gktest.ltb new file mode 100644 index 00000000000..cad1401a605 --- /dev/null +++ b/Master/texmf-dist/doc/latex/amsrefs/gktest.ltb @@ -0,0 +1,472 @@ +%% filename: gktest.ltb +%% version: 1.00 +%% date: 2004/06/30 +%% +%% American Mathematical Society +%% Technical Support +%% Publications Technical Group +%% 201 Charles Street +%% Providence, RI 02904 +%% USA +%% tel: (401) 455-4080 +%% (800) 321-4267 (USA and Canada only) +%% fax: (401) 331-3842 +%% email: tech-support@ams.org +%% +%% Copyright 2004, 2010 American Mathematical Society. +%% +%% This work may be distributed and/or modified under the +%% conditions of the LaTeX Project Public License, either version 1.3c +%% of this license or (at your option) any later version. +%% The latest version of this license is in +%% http://www.latex-project.org/lppl.txt +%% and version 1.3c or later is part of all distributions of LaTeX +%% version 2005/12/01 or later. +%% +%% This work has the LPPL maintenance status `maintained'. +%% +%% The Current Maintainer of this work is the American Mathematical +%% Society. +%% +%% ==================================================================== + +\documentclass{amsbook} +\usepackage{amsrefs} +\providecommand{\cyr}{} +\providecommand{\cprime}{\textprime} +\providecommand{\germ}{\mathfrak } + +\begin{document} +\begin{bibdiv} +\begin{biblist} + +\bib{MR58:27738}{book}{ + author={Andrews, G.~E.}, + title={The theory of partitions}, + publisher={Encyclopedia of Mathematics and its Applications, Vol. 2, + Addison-Wesley, Mass.-London-Amsterdam}, + date={1976}, +} + +\bib{MR90b:82001}{book}{ + author={Baxter, R.~J.}, + title={Exactly solved models in statistical mechanics}, + publisher={Academic Press Inc.}, + address={London}, + date={1989}, + ISBN={0-12-083182-1}, +} + +\bib{MR1451594}{article}{ + author={Benkart, G.}, + author={Kang, S.-J.}, + author={Melville, D.}, + title={Quantized enveloping algebras for Borcherds superalgebras}, + date={1998}, + ISSN={0002-9947}, + journal={Trans. Amer. Math. Soc.}, + volume={350}, + number={8}, + pages={3297\ndash 3319}, +} + +\bib{MR95d:17023}{article}{ + author={Benkart, G.}, + author={Kang, S.-J.}, + author={Misra, K.~C.}, + title={Indefinite Kac-Moody algebras of classical type}, + date={1994}, + ISSN={0001-8708}, + journal={Adv. Math.}, + volume={105}, + number={1}, + pages={76\ndash 110}, +} + +\bib{MR93d:17017}{article}{ + author={Chari, V.}, + author={Pressley, A.}, + title={Quantum affine algebras}, + date={1991}, + ISSN={0010-3616}, + journal={Comm. Math. Phys.}, + volume={142}, + number={2}, + pages={261\ndash 283}, +} + +\bib{MR26:2519}{book}{ + author={Curtis, Charles~W.}, + author={Reiner, Irving}, + title={Representation theory of finite groups and associative algebras}, + publisher={Interscience Publishers, a division of John Wiley \& Sons, New + York-London}, + date={1962}, + review={\MR{26 \#2519}}, +} + +\bib{Dr86}{incollection}{ + author={Drinfel$'$d, V.~G.}, + title={Quantum Groups}, + date={1987}, +conference={ + title={Proceedings of the International Congress of Mathematicians}, + address={Berkeley}, + date={1986} +}, + publisher={American Mathematical Society, Providence}, + pages={798\ndash 820}, +} + +\bib{MR94d:17032}{article}{ + author={Feingold, A.~J.}, + author={Frenkel, I.~B.}, + author={Ries, J.~F.~X.}, + title={Representations of hyperbolic Kac-Moody algebras}, + date={1993}, + ISSN={0021-8693}, + journal={J. Algebra}, + volume={156}, + number={2}, + pages={433\ndash 453}, +} + +\bib{MR84f:17004}{article}{ + author={Frenkel, I.~B.}, + author={Kac, V.~G.}, + title={Basic representations of affine Lie algebras and dual resonance + models}, + date={1981}, + ISSN={0020-9910}, + journal={Invent. Math.}, + volume={62}, + number={1}, + pages={23\ndash 66}, +} + +\bib{Gould}{article}{ + author={Gould, M.~D.}, + author={Zhang, R.~B.}, + author={Bracken, A.~J.}, + title={Quantum double construction for graded Hopf algebras}, + date={1993}, + journal={Bull. Austral. Math. Soc.}, + volume={47}, + pages={353\ndash 375}, +} + +\bib{MR1633090}{article}{ + author={Hong, J.}, + author={Kang, S.-J.}, + author={Miwa, T.}, + author={Weston, R.}, + title={Mixing of ground states in vertex models}, + date={1998}, + ISSN={0305-4470}, + journal={J. Phys. A}, + volume={31}, + number={28}, + pages={L515\ndash L525}, +} + +\bib{Jac1}{book}{ + author={Jacobson, N.}, + title={Basic algebra II}, + publisher={W. H. Freeman and Company}, + address={San Francisco}, + date={1980}, + ISBN={0-7167-1079-X (v. 2)}, +} + +\bib{MR98k:17037}{article}{ + author={Jeong, K.}, + author={Kang, S.-J.}, + author={Lee, H.}, + title={Lie-admissible algebras and Kac-Moody algebras}, + date={1997}, + ISSN={0021-8693}, + journal={J. Algebra}, + volume={197}, + number={2}, + pages={492\ndash 505}, +} + +\bib{Joseph}{book}{ + author={Joseph, A.}, + title={Quantum groups and their primitive ideals}, + publisher={Springer-Verlag}, + address={Berlin}, + date={1995}, + ISBN={3-540-57057-8}, +} + +\bib{Kac90}{book}{ + author={Kac, V.~G.}, + title={Infinite dimensional Lie algebras}, + edition={3}, + publisher={Cambridge University Press}, + address={Cambridge}, + date={1990}, + ISBN={0-521-37215-1; 0-521-46693-8}, +} + +\bib{KMW}{incollection}{ + author={Kac, V.~G.}, + author={Moody, R.~V.}, + author={Wakimoto, M.}, + title={On ${E}\sb {10}$}, + date={1988}, +conference={ + title={Differential geometrical methods in theoretical physics}, + address={Como}, + date={1987} +}, + publisher={Kluwer Acad. Publ.}, + address={Dordrecht}, + pages={109\ndash 128}, +} + +\bib{Ka93-1}{article}{ + author={Kang, S.-J.}, + title={Root multiplicities of the hyperbolic Kac-Moody Lie algebra + $HA\sp{(1)}\sb 1$}, + date={1993}, + ISSN={0021-8693}, + journal={J. Algebra}, + volume={160}, + number={2}, + pages={492\ndash 523}, +} + +\bib{MR94d:17033}{article}{ + author={Kang, S.-J.}, + title={On the hyperbolic Kac-Moody Lie algebra $HA\sb 1\sp + {(1)}$}, + date={1994}, + ISSN={0002-9947}, + journal={Trans. Amer. Math. Soc.}, + volume={341}, + number={2}, + pages={623\ndash 638}, +} + +\bib{MR97e:17041}{incollection}{ + author={Kang, S.-J.}, + title={Root multiplicities of graded Lie algebras}, + date={1996}, +conference={ + title={Lie algebras and their representations}, + address={Seoul}, + date={1995}, +}, + publisher={Amer. Math. Soc.}, + address={Providence, RI}, + pages={161\ndash 176}, +} + +\bib{MR1641035}{article}{ + author={Kang, S.-J.}, + author={Kashiwara, M.}, + title={Quantized affine algebras and crystals with core}, + date={1998}, + ISSN={0010-3616}, + journal={Comm. Math. Phys.}, + volume={195}, + number={3}, + pages={725\ndash 740}, +} + +\bib{MR93g:17027}{article}{ + author={Kang, S.-J.}, + author={Kashiwara, M.}, + author={Misra, K.~C.}, + author={Miwa, T.}, + author={Nakashima, T.}, + author={Nakayashiki, A.}, + title={Vertex models and crystals}, + date={1992}, + ISSN={0764-4442}, + journal={C. R. Acad. Sci. Paris S\'er. I Math.}, + volume={315}, + number={4}, + pages={375\ndash 380}, +} + +\bib{MR1464137}{article}{ + author={Kang, S.-J.}, + author={Kim, M.-H.}, + title={Borcherds superalgebras and a monstrous Lie superalgebra}, + date={1997}, + ISSN={0025-5831}, + journal={Math. 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