SIMPLE SINGULARITIES AND SIMPLE LIE ALGEBRAS

被引:0
|
作者
Le Dung Trang [1 ]
Tosun, Meral [2 ]
机构
[1] Abdus Salam Int Ctr Theoret Phys, Dept Math, Trieste, Turkey
[2] Galatasaray Univ, Dept Math, Istanbul, Turkey
来源
关键词
simple singularities; resolution of singularities; Lie algebras; subregular nilpotent elements;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this survey article, we summarize the Grothendieck's conjectures relating simple singularities of surfaces and the geometry of finite dimensional complex simple Lie algebras. We also present the research works on the subject up to date with a list of references that can guide a beginner in the subject.
引用
收藏
页码:97 / 111
页数:15
相关论文
共 50 条
  • [31] ROOTSYSTEMS OF SIMPLE LIE-ALGEBRAS
    WINTER, DJ
    JOURNAL OF ALGEBRA, 1985, 97 (01) : 166 - 180
  • [32] Classification of simple Lie algebras on a lattice
    Iohara, Kenji
    Mathieu, Olivier
    PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2013, 106 : 508 - 564
  • [33] ON SEMI-SIMPLE LIE ALGEBRAS
    DIEUDONNE, J
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1953, 4 (06) : 931 - 932
  • [34] STANDARD REPRESENTATIONS OF SIMPLE LIE ALGEBRAS
    BOUWER, IZ
    CANADIAN JOURNAL OF MATHEMATICS, 1968, 20 (02): : 344 - &
  • [35] Quantum deformations of simple Lie algebras
    Bremner, M
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1997, 40 (02): : 143 - 148
  • [36] Triple automorphisms of simple Lie algebras
    Dengyin Wang
    Xiaoxiang Yu
    Czechoslovak Mathematical Journal, 2011, 61 : 1007 - 1016
  • [37] Triple automorphisms of simple Lie algebras
    Wang, Dengyin
    Yu, Xiaoxiang
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2011, 61 (04) : 1007 - 1016
  • [38] Simple Lie Algebras and Topological ODEs
    Bertola, Marco
    Dubrovin, Boris
    Yang, Di
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2018, 2018 (05) : 1368 - 1410
  • [39] TORSION AUTOMORPHISMS OF SIMPLE LIE ALGEBRAS
    Reeder, Mark
    ENSEIGNEMENT MATHEMATIQUE, 2010, 56 (1-2): : 3 - 47
  • [40] Automorphisms of exceptional simple Lie algebras
    Kuznetsov, MI
    Mulyar, OA
    COMMUNICATIONS IN ALGEBRA, 2001, 29 (09) : 3919 - 3934