Cohomology and Deformations of 3-Dimensional Heisenberg Hom-Lie Superalgebras

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.

Saved in:
Bibliographic Details
Published inCzechoslovak mathematical journal Vol. 71; no. 2; pp. 335 - 350
Main Authors Zhu, Junxia, Chen, Liangyun
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2021
Springer Nature B.V
Subjects
Analysis
Convex and Discrete Geometry
Deformation
Homology
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
17B99
17B56
Heisenberg Hom-Lie superalgebra
Hom-Lie superalgebra
cohomology
deformation
17B60
17B61
Lie superalgebra
Online AccessGet full text

Cover

More Information
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.
ISSN:0011-4642
1572-9141
DOI:10.21136/CMJ.2021.0310-19