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Zhu, Junxia; Chen, Liangyun

Cohomology and deformations of 3-dimensional Heisenberg Hom-Lie superalgebras. (English) Zbl 07361072

Czech. Math. J. 71, No. 2, 335-350 (2021).
Summary: We study Hom-Lie superalgebras of Heisenberg type. For 3-dimensional Heisenberg Hom-Lie superalgebras we describe their Hom-Lie super structures, compute the cohomology spaces and characterize their infinitesimal deformations.

Cited in 1 Document

MSC:

17B56 Cohomology of Lie (super)algebras
17B60 Lie (super)algebras associated with other structures (associative, Jordan, etc.)
17B61 Hom-Lie and related algebras
17B99 Lie algebras and Lie superalgebras

Keywords:

Hom-Lie superalgebra; Lie superalgebra; Heisenberg Hom-Lie superalgebra; cohomology; deformation
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\textit{J. Zhu} and \textit{L. Chen}, Czech. Math. J. 71, No. 2, 335--350 (2021; Zbl 07361072)
Full Text: DOI arXiv
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References:

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