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

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.

### 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
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### References:

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