Structure and cohomology of 3-Lie-Rinehart superalgebras

2020/10/03 by Hassine, Abdelkader Ben, Chtioui, Taoufik, Mabrouk, Sami +1
#17A40 #17B05 #17B60 #17B61 #17B66 #53D17 #FOS: Mathematics #K-Theory and Homology (math.KT) #Quantum Algebra (math.QA) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2010.01237

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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