Structure of Root Graded Lie Algebras

被引:0
|
作者
Yousofzadeh, Malihe [1 ,2 ]
机构
[1] Univ Isfahan, Dept Math, Esfahan, Iran
[2] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran
关键词
Root Graded Lie Algebras; Locally Finite Root Systems; SYSTEMS;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We give a complete description of the structure of Lie algebras graded by an infinite irreducible locally finite root system. Mathematics Subject Classification 2000: 17B70, 17B05, 17B60, 17B65.
引用
收藏
页码:397 / 435
页数:39
相关论文
共 50 条
  • [41] Graded Lie algebras of type FP
    Weigel, Th.
    ISRAEL JOURNAL OF MATHEMATICS, 2015, 205 (01) : 185 - 209
  • [42] Lie ideals of graded associative algebras
    Bierwirth, Hannes
    Siles Molina, Mercedes
    ISRAEL JOURNAL OF MATHEMATICS, 2012, 191 (01) : 111 - 136
  • [43] Differential graded vertex Lie algebras
    Caradot, Antoine
    Jiang, Cuipo
    Lin, Zongzhu
    JOURNAL OF MATHEMATICAL PHYSICS, 2024, 65 (12)
  • [44] Lie ideals of graded associative algebras
    Hannes Bierwirth
    Mercedes Siles Molina
    Israel Journal of Mathematics, 2012, 191 : 111 - 136
  • [45] ON THE CENTER OF GRADED LIE-ALGEBRAS
    LOFWALL, C
    ASTERISQUE, 1984, (113-) : 263 - 267
  • [46] Whittaker Modules for Graded Lie Algebras
    Wang, Bin
    ALGEBRAS AND REPRESENTATION THEORY, 2011, 14 (04) : 691 - 702
  • [47] Graded Lie-Rinehart algebras
    Barreiro, Elisabete
    Calderon, A. J.
    Navarro, Rosa M.
    Sanchez, Jose M.
    JOURNAL OF GEOMETRY AND PHYSICS, 2023, 191
  • [48] UNIVERSAL GRADED LIE-ALGEBRAS
    FEI, QY
    SHEN, GY
    JOURNAL OF ALGEBRA, 1992, 152 (02) : 439 - 453
  • [49] Graded quasi-Lie algebras
    Larsson, D
    Silvestrov, SD
    CZECHOSLOVAK JOURNAL OF PHYSICS, 2005, 55 (11) : 1473 - 1478
  • [50] REPRESENTATIONS OF GRADED MULTILOOP LIE ALGEBRAS
    Pal, Tanusree
    Batra, Punita
    COMMUNICATIONS IN ALGEBRA, 2010, 38 (01) : 49 - 67