The Even Part of Finite-Dimensional Modular Lie Superalgebra Γ

被引：0

作者：

Fan, Yusi ^{[1
]}

Xu, Xiaoning ^{[2
]}

Chen, Liangyun ^{[1
]}

机构：

[1] Northeast Normal Univ, Sch Math, Changchun 130000, Peoples R China

[2] Liaoning Univ, Sch Math, Shenyang 110036, Peoples R China

来源：

ALGEBRA COLLOQUIUM | 2021年 / 28卷 / 03期

基金：

中国国家自然科学基金;

关键词：

modular Lie superalgebra; generator; derivation; CARTAN-TYPE; DERIVATION ALGEBRA;

D O I：

10.1142/S1005386721000377

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let F be the underlying base field of characteristic p>3 and denote by Gamma(0) over bar the even part of the finite-dimensional Lie superalgebra Gamma. We give the generator sets of the Lie algebra Gamma(0) over bar . Using certain properties of the canonical tori of Gamma(0) over bar , we describe explicitly the derivation algebra of Gamma(0) over bar .

引用

页码：479 / 496

页数：18

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