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

• Published in: Czechoslovak mathematical journal Vol. 71; no. 2; pp. 335 - 350
• Main Authors: Zhu, Junxia, Chen, Liangyun
• Format: Journal Article
• Language: English
• 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

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.