(Co)homology of compatible associative algebras
Rings and Algebras
2021-07-21 v1 K-Theory and Homology
Representation Theory
Abstract
In this paper, we define and study (co)homology theories of a compatible associative algebra . At first, we construct a new graded Lie algebra whose Maurer-Cartan elements are given by compatible associative structures. Then we define the cohomology of a compatible associative algebra and as applications, we study extensions, deformations and extensibility of finite order deformations of . We end this paper by considering compatible presimplicial vector spaces and the homology of compatible associative algebras.
Keywords
Cite
@article{arxiv.2107.09259,
title = {(Co)homology of compatible associative algebras},
author = {Taoufik Chtioui and Apurba Das and Sami Mabrouk},
journal= {arXiv preprint arXiv:2107.09259},
year = {2021}
}
Comments
28 pages; comments are welcome