A Note on the Rank of a Restricted Lie Algebra

被引：1
|
作者：
Chang, Hao [1 ]
机构：
[1] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China
来源：
ALGEBRA COLLOQUIUM | 2018年 / 25卷 / 04期
关键词：
restricted Lie algebra; rank; contact algebra; CARTAN SUBALGEBRAS; TORI;
D O I：
10.1142/S1005386718000457
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this short note, we study the rank of a restricted Lie algebra (g, [p]), and give some applications which concern the dimensions of non-trivial irreducible modules. We also compute the rank of the restricted contact algebra.
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页码：653 / 660
页数：8
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