Cohomology and deformations of associative superalgebras
General Mathematics
2021-09-01 v2
Abstract
In this paper we generalize to associative superalgebras Gerstenhaber's work on cohomology structure of an associative algebra. We introduce two multiplications U and [-,-] on the cochain complex C^*(A;A) of an associative superalgebra A. We prove that these multiplications induce two multiplications on H^*(A;A) and make it graded commutative superalgebra and graded Lie superalgebra, respectively. Moreover, we introduce formal deformation theory of associative superalgebras.
Keywords
Cite
@article{arxiv.2104.00517,
title = {Cohomology and deformations of associative superalgebras},
author = {R. B. Yadav},
journal= {arXiv preprint arXiv:2104.00517},
year = {2021}
}