GROUP GRADINGS ON SIMPLE LIE ALGEBRAS IN POSITIVE CHARACTERISTIC

被引:0
|
作者
Bahturin, Yuri [1 ]
Kochetov, Mikhail [1 ]
Montgomery, Susan [2 ]
机构
[1] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada
[2] Univ So Calif, Dept Math, Los Angeles, CA 90089 USA
基金
加拿大自然科学与工程研究理事会;
关键词
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 paper we describe all gradings by a finite abelian group G on the following Lie algebras over an algebraically closed field F of characteristic p not equal 2: sl(n)(F) (n not divisible by p), so(n)(F) (n >= 5, n not equal 8) and sp(n)(F) (n >= 6, n even).
引用
收藏
页码:1245 / 1254
页数:10
相关论文
共 50 条
  • [1] Gradings of positive rank on simple Lie algebras
    Reeder, Mark
    Levy, Paul
    Yu, Jiu-Kang
    Gross, Benedict H.
    TRANSFORMATION GROUPS, 2012, 17 (04) : 1123 - 1190
  • [2] Gradings of positive rank on simple Lie algebras
    Mark Reeder
    Paul Levy
    Jiu-Kang Yu
    Benedict H. Gross
    Transformation Groups, 2012, 17 : 1123 - 1190
  • [3] Group gradings on simple Lie algebras of type "A"
    Bahturin, Yuri
    Zaicev, Mikhail
    JOURNAL OF LIE THEORY, 2006, 16 (04) : 719 - 742
  • [4] GROUP GRADINGS ON FINITARY SIMPLE LIE ALGEBRAS
    Bahturin, Yuri
    Bresar, Matej
    Kochetov, Mikhail
    INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2012, 22 (05)
  • [5] Non-group gradings on simple Lie algebras
    Elduque, Alberto
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2022, 640 : 149 - 161
  • [6] Group gradings on the Lie algebra psln in positive characteristic
    Bahturin, Yuri
    Kochetov, Mikhail
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2009, 213 (09) : 1739 - 1749
  • [7] On Gradings Modulo 2 of Simple Lie Algebras in Characteristic 2
    Krutov, Andrey
    Lebedev, Alexei
    SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2018, 14
  • [8] Gradings on simple Jordan and Lie algebras
    Bahturin, YA
    Shestakov, IP
    Zaicev, MV
    JOURNAL OF ALGEBRA, 2005, 283 (02) : 849 - 868
  • [9] A class of gradings of simple Lie algebras
    Baur, Karin
    Wallach, Nolan
    LIE ALGEBRAS, VERTEX OPERATOR ALGEBRAS AND THEIR APPLICATIONS, 2007, 442 : 3 - +
  • [10] Group Gradings on Filiform Lie Algebras
    Bahturin, Yuri
    Goze, Michel
    Remm, Elisabeth
    COMMUNICATIONS IN ALGEBRA, 2016, 44 (01) : 40 - 62