Group Gradings on G2

被引:29
作者
Bahturin, Y. A. [1 ]
Tvalavadze, M. V. [1 ]
机构
[1] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
Exceptional Lie algebra; Graded algebra; Octonion algebra;
D O I
10.1080/00927870802278529
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this article, we describe all group gradings by a finite abelian group of a simple Lie algebra of type G2 over an algebraically closed field F of characteristic zero.
引用
收藏
页码:885 / 893
页数:9
相关论文
共 14 条
[1]  
ALEKSEEVSKIJ AV, 1969, FUNCTS ANAL PRILOZH, V8, P1
[2]  
BAHTURIN Y. A., 2003, LECT NOTES PURE APPL, V235, P101
[3]   Gradings on simple Jordan and Lie algebras [J].
Bahturin, YA ;
Shestakov, IP ;
Zaicev, MV .
JOURNAL OF ALGEBRA, 2005, 283 (02) :849-868
[4]   Group gradings on matrix algebras [J].
Bahturin, YA ;
Zaicev, MV .
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2002, 45 (04) :499-508
[5]   Group gradings on associative algebras [J].
Bahturin, YA ;
Sehgal, SK ;
Zaicev, MV .
JOURNAL OF ALGEBRA, 2001, 241 (02) :677-698
[6]   Involutions on graded matrix algebras [J].
Bahturin, Yuri ;
Zalcev, Mikhail .
JOURNAL OF ALGEBRA, 2007, 315 (02) :527-540
[7]  
Bahturin Y, 2006, J LIE THEORY, V16, P719
[8]   Gradings on g2 [J].
Draper, Cristina ;
Martin, Candido .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2006, 418 (01) :85-111
[9]   Gradings on octonions [J].
Elduque, A .
JOURNAL OF ALGEBRA, 1998, 207 (01) :342-354
[10]  
JACOBSON N, 1994, ALGEBRAS