Structure and cohomology of 3-Lie-Rinehart superalgebras

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 sup...

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Hauptverfasser:	Hassine, Abdelkader Ben, Chtioui, Taoufik, Mabrouk, Sami, Silvestrov, Sergei
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - K-Theory and Homology Mathematics - Quantum Algebra Mathematics - Rings and Algebras
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Zusammenfassung:	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.
DOI:	10.48550/arxiv.2010.01237