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Structure and cohomology of 3-Lie-Rinehart superalgebras

Communications in Algebra (2021) 49(11) 4883-4904
DOI: 10.1080/00927872.2021.1931266
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Abstract

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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Ben Hassine, A., Chtioui, T., Mabrouk, S., & Silvestrov, S. (2021). Structure and cohomology of 3-Lie-Rinehart superalgebras. Communications in Algebra, 49(11), 4883–4904. https://doi.org/10.1080/00927872.2021.1931266

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