On cohomology of filiform Lie superalgebras

JOURNAL OF GEOMETRY AND PHYSICS

卷:134

Article

Yang, Yong¹  Liu, Wende² 

[1] Jilin Univ, Sch Math, Changchun 130012, Jilin, Peoples R China

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

关键词: Filiform Lie superalgebra;    Betti number;    Associative superalgebra;   

DOI  :  10.1016/j.geomphys.2018.08.010

来源: Elsevier

【 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.

【 授权许可】

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