A family of simple Lie algebras in characteristic two

被引：8

作者：

Jurman, G

机构：

[1] Australian Natl Univ, Ctr Math & Applicat, Canberra, ACT 0200, Australia

[2] IRST, ITC, I-38050 Povo, Trento, Italy

来源：

JOURNAL OF ALGEBRA | 2004年 / 271卷 / 02期

关键词：

simple Lie algebras; Zassenhaus algebras;

D O I：

10.1016/j.jalgebra.2003.10.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper a new two-parameter family of simple Lie algebras defined over fields of characteristic two is described. They are used to construct loop algebras which are central to the classification of graded Lie algebras with maximal class and characteristic two. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：454 / 481

页数：28

共 32 条

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[2]

[Anonymous], B SOC MATH FRANCE

[3] FINITE-DIMENSIONAL SIMPLE LIE-ALGEBRAS WITH A NONSINGULAR DERIVATION [J].