Structure and cohomology of 3-Lie-Rinehart superalgebras
Rings and Algebras
2020-10-06 v1 K-Theory and Homology
Quantum Algebra
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.
Keywords
Cite
@article{arxiv.2010.01237,
title = {Structure and cohomology of 3-Lie-Rinehart superalgebras},
author = {Abdelkader Ben Hassine and Taoufik Chtioui and Sami Mabrouk and Sergei Silvestrov},
journal= {arXiv preprint arXiv:2010.01237},
year = {2020}
}