Gradings on g2

被引:46
作者
Draper, Cristina
Martin, Candido
机构
[1] Fac Ciencias, Dept Algebra Geometria & Topol, Malaga 29080, Spain
[2] Dept Matemat Aplicada, Malaga 29071, Spain
关键词
exceptional Lie algebra; gradings; g(2); torus;
D O I
10.1016/j.laa.2006.01.017
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We find all gradings of g(2) up to equivalence. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码:85 / 111
页数:27
相关论文
共 21 条
[1]  
[Anonymous], FUNCT ANAL APPL
[2]   Gradings of simple Jordan algebras and their relation to the gradings of simple associative algebras [J].
Bahturin, Y ;
Shestakov, I .
COMMUNICATIONS IN ALGEBRA, 2001, 29 (09) :4095-4102
[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]   Gradings on octonions [J].
Elduque, A .
JOURNAL OF ALGEBRA, 1998, 207 (01) :342-354
[6]  
ELDUQUE A, MATHRA0512618
[7]   On Lie gradings II [J].
Havlicek, M ;
Patera, J ;
Pelantova, E .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1998, 277 (1-3) :97-125
[8]   On Lie gradings III.: Gradings of the real forms of classical Lie algebras [J].
Havlícek, M ;
Patera, J ;
Pelantová, E .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2000, 314 (1-3) :1-47
[9]   Automorphisms of the fine grading of sl(n,C) associated with the generalized Pauli matrices [J].
Havlícek, M ;
Patera, J ;
Pelantová, E ;
Tolar, J .
JOURNAL OF MATHEMATICAL PHYSICS, 2002, 43 (02) :1083-1094
[10]   SPECIAL AND PURE GRADINGS OF LIE-ALGEBRAS [J].
HESSELINK, WH .
MATHEMATISCHE ZEITSCHRIFT, 1982, 179 (01) :135-149