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Structure and cohomology of 3-Lie-Rinehart superalgebras
Published 3 Oct 2020 in math.RA, math.KT, and math.QA | (2010.01237v1)
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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