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- Title
Rota-Baxter operators on involutive associative algebras.
- Authors
DAS, APURBA
- Abstract
In this paper, we consider Rota-Baxter operators on involutive associative algebras. We define cohomology for Rota-Baxter operators on involutive algebras that governs the formal deformation of the operator. This cohomology can be seen as the Hochschild cohomology of a certain involutive associative algebra with coefficients in a suitable involutive bimodule. We also relate this cohomology with the cohomology of involutive dendriform algebras. Finally, we show that the standard Fard-Guo construction of the functor from the category of dendriform algebras to the category of Rota-Baxter algebras restricts to the involutive case.
- Subjects
OPERATOR algebras; ALGEBRA; ENGINEERING standards; NONASSOCIATIVE algebras; ASSOCIATIVE algebras
- Publication
Acta Scientiarum Mathematicarum, 2021, Vol 87, Issue 3/4, p349
- ISSN
0001-6969
- Publication type
Article
- DOI
10.14232/actasm-020-616-0