EXTENSIONS OF LIE SUPERALGEBRAS BY HEISENBERG LIE SUPERALGEBRAS

被引：2

作者：

Bai, Wei ^{[1
]}

Liu, Wende ^{[1
]}

机构：

[1] Harbin Normal Univ, Sch Math Sci, Harbin 150025, Heilongjiang, Peoples R China

来源：

COLLOQUIUM MATHEMATICUM | 2018年 / 153卷 / 02期

关键词：

extension; cohomology; Heisenberg Lie superalgebra; ALGEBRAS;

D O I：

10.4064/cm7243-8-2017

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study extensions of Lie superalgebras by Heisenberg Lie superalgebras over a field of characteristic p not equal 2. We prove that the equivalence classes of those extensions are parameterized by means of representations and 2-cohomology classes of two extensions by two related Abelian Lie superalgebras.

引用

页码：209 / 218

页数：10

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