Cohomology of Twisted Rota-Baxter operators on Associative~Conformal Algebra
Rings and Algebras
2023-08-17 v1
Abstract
In this paper, we examine the concept of twisted Rota-Baxter (TRB) operators on associative conformal algebras. Our strategy begins by constructing an -algebra using Maurer-Cartan elements derived from -twisted Rota-Baxter (-TRB) operators on associative conformal algebras. This structure leads us to explore the cohomology of the conformal -TRB operator, which is characterized as the Hochschild cohomology of a specific associative conformal algebra with coefficients in a conformal bimodule. Furthermore, we study the linear and formal deformations of conformal -TRB operators to explore the application of cohomology.
Keywords
Cite
@article{arxiv.2308.08209,
title = {Cohomology of Twisted Rota-Baxter operators on Associative~Conformal Algebra},
author = {Sania Asif and Lamei Yuan and Yao Wang},
journal= {arXiv preprint arXiv:2308.08209},
year = {2023}
}