Czechoslovak Mathematical Journal, first online, pp. 1-16


Cohomology and deformations of 3-dimensional Heisenberg Hom-Lie superalgebras

Junxia Zhu, Liangyun Chen

Received July 15, 2019.   Published online February 3, 2021.

Abstract:  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.
Keywords:  Hom-Lie superalgebra; Lie superalgebra; Heisenberg Hom-Lie superalgebra; cohomology; deformation
Classification MSC:  17B56, 17B60, 17B61, 17B99
DOI:  10.21136/CMJ.2021.0310-19

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Affiliations:   Junxia Zhu, Liangyun Chen (corresponding author), School of Mathematics and Statistics, Northeast Normal University, No. 5268, Renmin Street, Changchun, Jilin Province, Changchun, 130024, P. R. China, e-mail: chenly640@nenu.edu.cn


 
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