Group gradings on the Lie algebra psln in positive characteristic

被引：2

作者：

Bahturin, Yuri ^{[1
]}

Kochetov, Mikhail ^{[1
]}

机构：

[1] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2009年 / 213卷 / 09期

基金：

加拿大自然科学与工程研究理事会;

关键词：

D O I：

10.1016/j.jpaa.2009.01.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we describe all gradings by an abelian group G on the simple Lie algebra psl(n)(F) where F is an algebraically closed field of characteristic p different from 2 and dividing n. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：1739 / 1749

页数：11

共 10 条

[1]

BAHTURIN Y. A., 2003, LECT NOTES PURE APPL, V235, P101

[2] Involutions on graded matrix algebras [J].

Bahturin, Yuri ;

Zalcev, Mikhail .

JOURNAL OF ALGEBRA, 2007, 315 (02) :527-540

[3]

Bahturin Y, 2006, J LIE THEORY, V16, P719

[4]

Bahturin Y, 2009, P AM MATH SOC, V137, P1245

[5] On Herstein's Lie map conjectures, III [J].

Beidar, KI ;

Bresar, M ;

Chebotar, MA ;

Martindale, WS .

JOURNAL OF ALGEBRA, 2002, 249 (01) :59-94

[6] Lie isomorphisms in *-prime GPI rings with involution [J].

Blau, PS ;

Martindale, WS .

TAIWANESE JOURNAL OF MATHEMATICS, 2000, 4 (02) :215-252

[7]

DIEUDONNE J, 1973, PURE APPL MATH, V20

[8] Gradings on octonions [J].

Elduque, A .

JOURNAL OF ALGEBRA, 1998, 207 (01) :342-354

[9]

Martindale W.S., 1964, Michigan Math. J., V11, P183

[10]

Montgomery S., 1993, HOPF ALGEBRAS THEIR, V82

← 1 →