path: root/Master/texmf-dist/doc/latex/dynkin-diagrams/dynkin-diagrams.bib

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@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:1978,
    AUTHOR = {Humphreys, James E.},
     TITLE = {Introduction to {L}ie algebras and representation theory},
    SERIES = {Graduate Texts in Mathematics},
    VOLUME = {9},
      NOTE = {Second printing, revised},
 PUBLISHER = {Springer-Verlag, New York-Berlin},
      YEAR = {1978},
     PAGES = {xii+171},
      ISBN = {0-387-90053-5},
   MRCLASS = {17Bxx},
  MRNUMBER = {499562},
MRREVIEWER = {I. P. Shestakov},
}

@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},
}

@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}
}

@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;}