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|
% Encoding: ISO-8859-1
@Book{Adams:1996,
Title = {Lectures on exceptional {L}ie groups},
Author = {Adams, J. F.},
Publisher = {University of Chicago Press, Chicago, IL},
Year = {1996},
Note = {With a foreword by J. Peter May,
Edited by Zafer Mahmud and Mamoru Mimura},
Series = {Chicago Lectures in Mathematics},
ISBN = {0-226-00526-7; 0-226-00527-5},
Mrclass = {22-01 (22E10)},
Mrnumber = {1428422},
Mrreviewer = {William M. McGovern},
Owner = {user},
Pages = {xiv+122},
Timestamp = {2018.07.22}
}
@Article{Baba:2009,
Title = {Satake diagrams and restricted root systems of semisimple pseudo-{R}iemannian symmetric spaces},
Author = {Baba, Kurando},
Journal = {Tokyo J. Math.},
Year = {2009},
Number = {1},
Pages = {127--158},
Volume = {32},
Fjournal = {Tokyo Journal of Mathematics},
ISSN = {0387-3870},
Mrclass = {17B20 (17B22 53C35)},
Mrnumber = {2541161},
Mrreviewer = {Oksana S. Yakimova},
Owner = {user},
Timestamp = {2017.12.04},
Url = {https://doi.org/10.3836/tjm/1249648414}
}
@Book{Bourbaki:2002,
Title = {Lie groups and {L}ie algebras. {C}hapters 4--6},
Author = {Bourbaki, Nicolas},
Publisher = {Springer-Verlag, Berlin},
Year = {2002},
Note = {Translated from the 1968 French original by Andrew Pressley},
Series = {Elements of Mathematics (Berlin)},
ISBN = {3-540-42650-7},
Mrclass = {17-01 (00A05 20E42 20F55 22-01)},
Mrnumber = {1890629},
Owner = {user},
Pages = {xii+300},
Timestamp = {2017.11.15},
Url = {https://doi.org/10.1007/978-3-540-89394-3}
}
@Book{Carter:2005,
Title = {Lie algebras of finite and affine type},
Author = {Carter, R. W.},
Publisher = {Cambridge University Press, Cambridge},
Year = {2005},
Series = {Cambridge Studies in Advanced Mathematics},
Volume = {96},
ISBN = {978-0-521-85138-1; 0-521-85138-6},
Mrclass = {17-02 (17B67)},
Mrnumber = {2188930},
Mrreviewer = {Stephen Slebarski},
Owner = {user},
Pages = {xviii+632},
Timestamp = {2017.11.15},
Url = {https://doi.org/10.1017/CBO9780511614910}
}
@InCollection{Carter:1995,
Title = {On the representation theory of the finite groups of {L}ie
type over an algebraically closed field of characteristic 0 [
{MR}1170353 (93j:20034)]},
Author = {Carter, R. W.},
Booktitle = {Algebra, {IX}},
Publisher = {Springer, Berlin},
Year = {1995},
Pages = {1--120, 235--239},
Series = {Encyclopaedia Math. Sci.},
Volume = {77},
Doi = {10.1007/978-3-662-03235-0_1},
Mrclass = {20C33 (20-02 20G05)},
Mrnumber = {1392478},
Owner = {user},
Timestamp = {2018.05.19},
Url = {https://doi.org/10.1007/978-3-662-03235-0_1}
}
@Article{Chuah:2013,
Title = {Cartan automorphisms and {V}ogan superdiagrams},
Author = {Chuah, Meng-Kiat},
Journal = {Math. Z.},
Year = {2013},
Number = {3-4},
Pages = {793--800},
Volume = {273},
Fjournal = {Mathematische Zeitschrift},
ISSN = {0025-5874},
Mrclass = {17B20 (17B40)},
Mrnumber = {3030677},
Mrreviewer = {Zi-Xin Hou},
Owner = {user},
Timestamp = {2017.12.04},
Url = {https://doi.org/10.1007/s00209-012-1030-z}
}
@InCollection{Draper/Guido:2016,
Title = {On the real forms of the exceptional {L}ie algebra {$\mathfrak
e_6$} and their {S}atake diagrams},
Author = {Draper Fontanals, Cristina and Guido, Valerio},
Booktitle = {Non-associative and non-commutative algebra and operator
theory},
Publisher = {Springer, Cham},
Year = {2016},
Pages = {211--226},
Series = {Springer Proc. Math. Stat.},
Volume = {160},
Mrclass = {17B20 (17A75 17B25 17B60)},
Mrnumber = {3613831},
Mrreviewer = {Alberto Elduque},
Owner = {user},
Timestamp = {2018.04.30}
}
@Book{Dynkin:2000,
Title = {Selected papers of {E}. {B}. {D}ynkin with commentary},
Author = {Dynkin, E. B.},
Publisher = {American Mathematical Society, Providence, RI; International Press, Cambridge, MA},
Year = {2000},
Note = {Edited by A. A. Yushkevich, G. M. Seitz and A. L. Onishchik},
ISBN = {0-8218-1065-0},
Mrclass = {01A75 (60Jxx)},
Mrnumber = {1757976},
Mrreviewer = {William M. McGovern},
Owner = {user},
Pages = {xxviii+796},
Timestamp = {2017.11.15}
}
@Article{Dynkin:1952,
Title = {Semisimple subalgebras of semisimple {L}ie algebras},
Author = {Dynkin, E. B.},
Journal = {Mat. Sbornik N.S.},
Year = {1952},
Note = {Reprinted in English translation in \cite{Dynkin:2000}.},
Pages = {349--462 (3 plates)},
Volume = {30(72)},
Mrclass = {09.1X},
Mrnumber = {0047629},
Mrreviewer = {I. Kaplansky},
Owner = {user},
Timestamp = {2017.11.15}
}
@Article{Frappat/Sciarrino/Sorba:1989,
Title = {Structure of basic {L}ie superalgebras and of their affine extensions},
Author = {Frappat, L. and Sciarrino, A. and Sorba, P.},
Journal = {Comm. Math. Phys.},
Year = {1989},
Number = {3},
Pages = {457--500},
Volume = {121},
Fjournal = {Communications in Mathematical Physics},
ISSN = {0010-3616},
Mrclass = {17B70 (17A70 17B40)},
Mrnumber = {990776},
Mrreviewer = {A. Pianzola},
Owner = {user},
Timestamp = {2017.12.18},
Url = {http://0-projecteuclid.org.library.ucc.ie/euclid.cmp/1104178142}
}
@Book{Grove/Benson:1985,
Title = {Finite reflection groups},
Author = {Grove, L. C. and Benson, C. T.},
Publisher = {Springer-Verlag, New York},
Year = {1985},
Edition = {Second},
Series = {Graduate Texts in Mathematics},
Volume = {99},
ISBN = {0-387-96082-1},
Mrclass = {20-01 (20B25 20H15)},
Mrnumber = {777684},
Owner = {user},
Pages = {x+133},
Timestamp = {2017.11.15},
Url = {https://doi.org/10.1007/978-1-4757-1869-0}
}
@Book{Helgason:2001,
Title = {Differential geometry, {L}ie groups, and symmetric spaces},
Author = {Helgason, Sigurdur},
Publisher = {American Mathematical Society, Providence, RI},
Year = {2001},
Note = {Corrected reprint of the 1978 original},
Series = {Graduate Studies in Mathematics},
Volume = {34},
ISBN = {0-8218-2848-7},
Mrclass = {53C35 (22E10 22E46 22E60)},
Mrnumber = {1834454},
Owner = {user},
Pages = {xxvi+641},
Timestamp = {2017.11.15},
Url = {https://doi.org/10.1090/gsm/034}
}
@Book{Humphreys:1990,
Title = {Reflection groups and {C}oxeter groups},
Author = {Humphreys, James E.},
Publisher = {Cambridge University Press, Cambridge},
Year = {1990},
Series = {Cambridge Studies in Advanced Mathematics},
Volume = {29},
ISBN = {0-521-37510-X},
Mrclass = {20-02 (20F32 20F55 20G15 20H15)},
Mrnumber = {1066460},
Mrreviewer = {Louis Solomon},
Owner = {user},
Pages = {xii+204},
Timestamp = {2017.11.15},
Url = {https://doi.org/10.1017/CBO9780511623646}
}
@Book{Kac:1990,
Title = {Infinite-dimensional {L}ie algebras},
Author = {Kac, Victor G.},
Publisher = {Cambridge University Press, Cambridge},
Year = {1990},
Edition = {Third},
ISBN = {0-521-37215-1; 0-521-46693-8},
Mrclass = {17B65 (17B67 17B68 58F07)},
Mrnumber = {1104219},
Owner = {user},
Pages = {xxii+400},
Timestamp = {2017.11.15},
Url = {https://doi.org/10.1017/CBO9780511626234}
}
@Article{Khastgir/Sasaki:1996,
Title = {Non-canonical folding of {D}ynkin diagrams and reduction of affine {T}oda theories},
Author = {Khastgir, S. Pratik and Sasaki, Ryu},
Journal = {Progr. Theoret. Phys.},
Year = {1996},
Number = {3},
Pages = {503--518},
Volume = {95},
Fjournal = {Progress of Theoretical Physics},
ISSN = {0033-068X},
Mrclass = {81T10 (17B81 58F07 81R10)},
Mrnumber = {1388245},
Mrreviewer = {Mehmet Koca},
Owner = {user},
Timestamp = {2017.12.18},
Url = {https://doi.org/10.1143/PTP.95.503}
}
@book {Langlands:1967,
AUTHOR = {Langlands, Robert P.},
TITLE = {Euler products},
NOTE = {A James K. Whittemore Lecture in Mathematics given at Yale
University, 1967,
Yale Mathematical Monographs, 1},
PUBLISHER = {Yale University Press, New Haven, Conn.-London},
YEAR = {1971},
PAGES = {v+53},
MRCLASS = {10D20 (22E55)},
MRNUMBER = {0419366},
MRREVIEWER = {Stephen Gelbart},
}
@MISC {MathOverflow:123801,
TITLE = {Invariant subbundles of tangent bundle of flag variety (question)},
AUTHOR = {Benjamin McKay},
HOWPUBLISHED = {MathOverflow},
DATE = {2013-03-06},
NOTE = {URL:\url{http://mathoverflow.net/a/22350} (visited on 2020-01-29)},
URL = {http://mathoverflow.net/a/123801},
URLDATE = {2020-01-29},
}
@phdthesis{Nutma:2010,
author = {Nutma, Teake Aant},
title = {Kac-Moody symmetries and gauged supergravity},
school = {Rijksuniversiteit Groningen},
year = 2010,
address = {Groningen},
month = 9,
note = {URL:\url{http://inspirehep.net/record/1283406/files/Thesis-2010-Nutma.pdf} (visited on 2020-01-29)}
}
@Book{OnishchikVinberg:1990,
Title = {Lie groups and algebraic groups},
Author = {Onishchik, A. L. and Vinberg, {\`E}. B.},
Publisher = {Springer-Verlag},
Year = {1990},
Address = {Berlin},
Note = {Translated from the Russian and with a preface by D. A. Leites},
Series = {Springer Series in Soviet Mathematics},
ISBN = {3-540-50614-4},
Mrclass = {22-01 (17B20 20G20 22E10 22E15)},
Mrnumber = {91g:22001},
Mrreviewer = {James E. Humphreys},
Owner = {user},
Pages = {xx+328},
Timestamp = {2017.11.15}
}
@Book{Onishchik/Vinberg:1990,
Title = {Lie groups and algebraic groups},
Author = {Onishchik, A. L. and Vinberg, \`E. B.},
Publisher = {Springer-Verlag, Berlin},
Year = {1990},
Note = {Translated from the Russian and with a preface by D. A. Leites},
Series = {Springer Series in Soviet Mathematics},
ISBN = {3-540-50614-4},
Mrclass = {22-01 (17B20 20G20 22E10 22E15)},
Mrnumber = {1064110},
Mrreviewer = {James E. Humphreys},
Owner = {user},
Pages = {xx+328},
Timestamp = {2017.11.15},
Url = {https://doi.org/10.1007/978-3-642-74334-4}
}
@Article{Ransingh:2013,
Title = {Vogan diagrams of untwisted affine {K}ac-{M}oody superalgebras},
Author = {Ransingh, Biswajit},
Journal = {Asian-Eur. J. Math.},
Year = {2013},
Number = {4},
Pages = {1350062, 10},
Volume = {6},
Fjournal = {Asian-European Journal of Mathematics},
ISSN = {1793-5571},
Mrclass = {17B67 (17B05 17B22 17B40)},
Mrnumber = {3149279},
Mrreviewer = {Xiangqian Guo},
Owner = {user},
Timestamp = {2018.01.11}
}
@Article{Ransingh:unpub,
Title = {{Vogan diagrams of affine twisted Lie superalgebras}},
Author = {Ransingh, B.},
Journal = {ArXiv e-prints},
Year = {2013},
Month = mar,
Pages = {1--9},
Adsnote = {Provided by the SAO/NASA Astrophysics Data System},
Adsurl = {http://adsabs.harvard.edu/abs/2013arXiv1303.0092R},
Archiveprefix = {arXiv},
Eprint = {1303.0092},
Keywords = {Mathematical Physics, Mathematics - Representation Theory},
Owner = {user},
Primaryclass = {math-ph},
Timestamp = {2018.01.11}
}
@Article{Regelskis/Vlaar:2016,
Title = {{Reflection matrices, coideal subalgebras and generalized Satake diagrams of affine type}},
Author = {{Regelskis}, V. and {Vlaar}, B.},
Journal = {ArXiv e-prints},
Year = {2016},
Month = feb,
Pages = {1--118},
Adsnote = {Provided by the SAO/NASA Astrophysics Data System},
Adsurl = {http://adsabs.harvard.edu/abs/2016arXiv160208471R},
Archiveprefix = {arXiv},
Eprint = {1602.08471},
Keywords = {Mathematical Physics, Mathematics - Quantum Algebra, Mathematics - Representation Theory, Nonlinear Sciences - Exactly Solvable and Integrable Systems},
Owner = {user},
Primaryclass = {math-ph},
Timestamp = {2017.12.04}
}
@ARTICLE{Ringel:2013,
author = {Ringel, Claus Michael},
title = {The root posets and their rich antichains},
journal = {arXiv e-prints},
keywords = {Mathematics - Combinatorics, Mathematics - Representation Theory},
year = "2013",
month = "Jun",
eid = {arXiv:1306.1593},
pages = {arXiv:1306.1593},
archivePrefix = {arXiv},
eprint = {1306.1593},
primaryClass = {math.CO},
adsurl = {https://ui.adsabs.harvard.edu/abs/2013arXiv1306.1593R},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@Book{Satake:1980,
Title = {Algebraic structures of symmetric domains},
Author = {Satake, Ichir\^o},
Publisher = {Iwanami Shoten, Tokyo; Princeton University Press, Princeton, N.J.},
Year = {1980},
Series = {Kan\^o Memorial Lectures},
Volume = {4},
Mrclass = {32-02 (17C35 32Mxx 53C35)},
Mrnumber = {591460},
Mrreviewer = {S. Murakami},
Owner = {user},
Pages = {xvi+321},
Timestamp = {2017.11.15}
}
@Book{Springer:2009,
Title = {Linear algebraic groups},
Author = {Springer, T. A.},
Publisher = {Birkh\"auser Boston, Inc., Boston, MA},
Year = {2009},
Edition = {second},
Series = {Modern Birkh\"auser Classics},
ISBN = {978-0-8176-4839-8},
Mrclass = {20G15 (14L10)},
Mrnumber = {2458469},
Owner = {user},
Pages = {xvi+334},
Timestamp = {2018.03.31}
}
@InCollection{Zuber:1998,
Title = {Generalized {D}ynkin diagrams and root systems and their folding},
Author = {Zuber, Jean-Bernard},
Booktitle = {Topological field theory, primitive forms and related topics ({K}yoto, 1996)},
Publisher = {Birkh\"auser Boston, Boston, MA},
Year = {1998},
Pages = {453--493},
Series = {Progr. Math.},
Volume = {160},
Mrclass = {17B20 (05C25 20F55)},
Mrnumber = {1653035},
Mrreviewer = {Saeid Azam},
Owner = {user},
Timestamp = {2017.12.18}
}
@Book{Vinberg:1994,
Title = {Lie groups and {L}ie algebras, {III}},
Editor = {Vinberg, \`E. B.},
Publisher = {Springer-Verlag, Berlin},
Year = {1994},
Note = {Structure of Lie groups and Lie algebras, A translation of {{\i}t Current problems in mathematics. Fundamental directions. Vol. 41} (Russian), Akad. Nauk SSSR, Vsesoyuz. Inst. Nauchn. i Tekhn. Inform., Moscow, 1990 [ MR1056485 (91b:22001)], Translation by V. Minachin [V. V. Minakhin], Translation edited by A. L. Onishchik and \`E. B. Vinberg},
Series = {Encyclopaedia of Mathematical Sciences},
Volume = {41},
ISBN = {3-540-54683-9},
Mrclass = {22-06 (17-06 22Exx)},
Mrnumber = {1349140},
Owner = {user},
Pages = {iv+248},
Timestamp = {2017.11.15},
Url = {https://doi.org/10.1007/978-3-662-03066-0}
}
@Book{Fulton.Harris:1991,
title = {Representation theory},
publisher = {Springer-Verlag, New York},
year = {1991},
author = {Fulton, William and Harris, Joe},
volume = {129},
series = {Graduate Texts in Mathematics},
isbn = {0-387-97527-6; 0-387-97495-4},
note = {A first course, Readings in Mathematics},
doi = {10.1007/978-1-4612-0979-9},
mrclass = {20G05 (17B10 20G20 22E46)},
mrnumber = {1153249},
mrreviewer = {James E. Humphreys},
pages = {xvi+551},
url = {https://doi.org/10.1007/978-1-4612-0979-9},
}
@Comment{jabref-meta: databaseType:bibtex;}
|
