Jordan Gradings on Associative Algebras

被引:6
作者
Bahturin, Yuri [1 ,2 ]
Bresar, Matej [3 ,4 ]
Shestakov, Ivan [5 ]
机构
[1] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada
[2] Moscow MV Lomonosov State Univ, Dept Algebra, Fac Mech & Math, Moscow 119899, Russia
[3] Univ Ljubljana, Dept Math, Ljubljana, Slovenia
[4] Univ Maribor, Dept Math & Comp Sci, SLO-2000 Maribor, Slovenia
[5] Univ Sao Paulo, Inst Math & Estat, BR-05315970 Sao Paulo, Brazil
基金
加拿大自然科学与工程研究理事会; 巴西圣保罗研究基金会;
关键词
Associative algebras; Jordan algebras; Group gradings; Functional identities; LIE-ALGEBRAS;
D O I
10.1007/s10468-009-9180-3
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 Jordan algebras, under very mild restrictions on the grading group or the base field of coefficients.
引用
收藏
页码:113 / 129
页数:17
相关论文
共 16 条
[1]   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
[2]  
BAHTURIN Y, 200522 IMEUSP RTMAT
[3]  
BAHTURIN Y, 1991, BASIC STRUCTURES MOD
[4]  
BAHTURIN Y. A., 2003, LECT NOTES PURE APPL, V235, P101
[5]   Gradings on simple Jordan and Lie algebras [J].
Bahturin, YA ;
Shestakov, IP ;
Zaicev, MV .
JOURNAL OF ALGEBRA, 2005, 283 (02) :849-868
[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]   Lie gradings on associative algebras [J].
Bahturin, Yuri ;
Bresar, Matej .
JOURNAL OF ALGEBRA, 2009, 321 (01) :264-283
[9]  
Beidar K. I., 1996, RINGS GEN IDENTITIES
[10]   Functional identities revised: The fractional and the strong degree [J].
Beidar, KI ;
Bresar, M ;
Chebotar, MA .
COMMUNICATIONS IN ALGEBRA, 2002, 30 (02) :935-969