Structure and cohomology of 3-Lie-Rinehart superalgebras

Abdelkader Ben Hassine; Taoufik Chtioui; Sami Mabrouk; Sergei Silvestrov

doi:10.1080/00927872.2021.1931266

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Structure and cohomology of 3-Lie-Rinehart superalgebras

Journal article

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Peer reviewed

Structure and cohomology of 3-Lie-Rinehart superalgebras

Abdelkader Ben Hassine, Taoufik Chtioui, Sami Mabrouk and Sergei Silvestrov

Communications in algebra, Vol.49(11), pp.4883-4904

2021

DOI: https://doi.org/10.1080/00927872.2021.1931266

Abstract

3-Lie-Rinehart superalgebra

Cohomology

deformation

Lie-Rinehart superalgebra

We introduce a concept of 3-Lie-Rinehart superalgebra and systematically describe a cohomology complex by considering coefficient modules. Furthermore, we study the relationships between a Lie-Rinehart superalgebra and its induced 3-Lie-Rinehart superalgebra. The deformations of 3-Lie-Rinehart superalgebra are considered via a cohomology theory.

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Title: Structure and cohomology of 3-Lie-Rinehart superalgebras
Creators - without role: Abdelkader Ben Hassine - University of Bisha
Taoufik Chtioui - University of Sfax
Sami Mabrouk - University of Gafsa
Sergei Silvestrov - Mälardalen University
Publication Details: Communications in algebra, Vol.49(11), pp.4883-4904
Publisher: Taylor & Francis
Identifiers: 9932655508331
Academic Unit: University of Bisha
Language: English
Resource Type: Journal article