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arXiv · 2010.01237

Structure and cohomology of 3-Lie-Rinehart superalgebras

Abdelkader Ben Hassine·Taoufik Chtioui·Sami Mabrouk·Sergei Silvestrov
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Abstract

We introduce the 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 the cohomology theory.

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BibTeXRIS

Abdelkader Ben Hassine, Taoufik Chtioui, Sami Mabrouk, Sergei Silvestrov. 2020-10-03. Structure and cohomology of 3-Lie-Rinehart superalgebras. https://arxiv.org/abs/2010.01237

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