On cohomology of filiform Lie superalgebras

被引：4
作者：
Yang, Yong [1 ]
Liu, Wende [2 ]
机构：
[1] Jilin Univ, Sch Math, Changchun 130012, Jilin, Peoples R China
[2] Harbin Normal Univ, Sch Math Sci, Harbin 150025, Heilongjiang, Peoples R China
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2018年 / 134卷
关键词：
Filiform Lie superalgebra; Betti number; Associative superalgebra; INFINITESIMAL DEFORMATIONS; ALGEBRAS;
D O I：
10.1016/j.geomphys.2018.08.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Suppose the ground field F is an algebraically closed field of characteristic different from 2, 3. We determine the Betti numbers and make a decomposition of the associative superalgebra of the cohomology for the model filiform Lie superalgebra. We also describe the associative superalgebra structures of the (divided power) cohomology for some low-dimensional filiform Lie superalgebras. (C) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码：212 / 234
页数：23
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