On the recognition theorem for Lie algebras of characteristic three

被引：3
作者：
Kostrikin, AI
Ostrik, VV
机构：
来源：
SBORNIK MATHEMATICS | 1995年 / 186卷 / 9-10期
关键词：
D O I：
10.1070/SM1995v186n10ABEH000079
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The finite-dimensional simple Lie algebras over an algebraically closed field of characteristic p = 3 that admit a grading (L(i); i greater than or equal to 1) of depth 1 are classified in this paper. It is assumed that L(0) is a reductive Lie algebra acting irreducibly on L(-1). Most of the arguments work for any characteristic p not equal 2. The case of anon-restricted L(0)-module L(-1) was considered previously.
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页码：1461 / 1475
页数：15
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