Lie gradings on associative algebras

被引：16
|
作者：
Bahturin, Yuri [1 ]
Bresar, Matej [2 ]
机构：
[1] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada
[2] Univ Maribor, Dept Math & Comp Sci, FNM, SLO-2000 Maribor, Slovenia
来源：
JOURNAL OF ALGEBRA | 2009年 / 321卷 / 01期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Graded algebra; Matrix algebra; Involution; IDEALS;
D O I：
10.1016/j.jalgebra.2008.08.032
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we apply the method of functional identities to the study of group gradings by an abelian group G on simple Lie algebras, under very mild restrictions on the grading group or the base field of coefficients. (c) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：264 / 283
页数：20
相关论文
共 50 条
  • [1] Gradings on associative algebras with involution and real forms of classical simple Lie algebras
    Elduque, Alberto
    Kochetov, Mikhail
    Rodrigo-Escudero, Adrian
    [J]. JOURNAL OF ALGEBRA, 2022, 590 : 61 - 138
  • [2] Jordan Gradings on Associative Algebras
    Yuri Bahturin
    Matej Brešar
    Ivan Shestakov
    [J]. Algebras and Representation Theory, 2011, 14 : 113 - 129
  • [3] Group gradings on associative algebras
    Bahturin, YA
    Sehgal, SK
    Zaicev, MV
    [J]. JOURNAL OF ALGEBRA, 2001, 241 (02) : 677 - 698
  • [4] EXISTENCE OF GRADINGS ON ASSOCIATIVE ALGEBRAS
    Bogdanic, Dusko
    [J]. COMMUNICATIONS IN ALGEBRA, 2016, 44 (07) : 3069 - 3076
  • [5] Jordan Gradings on Associative Algebras
    Bahturin, Yuri
    Bresar, Matej
    Shestakov, Ivan
    [J]. ALGEBRAS AND REPRESENTATION THEORY, 2011, 14 (01) : 113 - 129
  • [6] Gradings of simple Jordan algebras and their relation to the gradings of simple associative algebras
    Bahturin, Y
    Shestakov, I
    [J]. COMMUNICATIONS IN ALGEBRA, 2001, 29 (09) : 4095 - 4102
  • [7] Finite gradings of Lie algebras
    Sanchez Ortega, Juana
    Siles Molina, Mercedes
    [J]. JOURNAL OF ALGEBRA, 2012, 372 : 161 - 171
  • [8] A Construction of Gradings of Lie Algebras
    Fernandez Lopez, Antonio
    Garcia, Esther
    Gomez Lozano, Miguel
    Neher, Erhard
    [J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2007, 2007
  • [9] Gradings for Nilpotent Lie Algebras
    Hakavuori, Eero
    Kivioja, Ville
    Moisala, Terhi
    Tripaldi, Francesca
    [J]. JOURNAL OF LIE THEORY, 2022, 32 (02) : 383 - 412
  • [10] Group gradings on associative algebras with involution
    Bahturin, Y. A.
    Giambruno, A.
    [J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2008, 51 (02): : 182 - 194
12345