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- W4300485812 abstract "In this paper, we introduce the cohomology theory of $mathcal{O}$-operators on Hom-associative algebras. This cohomology can also be viewed as the Hochschild cohomology of a certain Hom-associative algebra with coefficients in a suitable bimodule. Next, we study infinitesimal and formal deformations of an $mathcal{O}$-operator and show that they are governed by the above-defined cohomology. Furthermore, the notion of Nijenhuis elements associated with an $mathcal{O}$-operator is introduced to characterize trivial infinitesimal deformations." @default.
- W4300485812 created "2022-10-03" @default.
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- W4300485812 date "2021-04-08" @default.
- W4300485812 modified "2023-09-27" @default.
- W4300485812 title "Cohomology and deformations of O-operators on Hom-associative algebras" @default.
- W4300485812 doi "https://doi.org/10.48550/arxiv.2104.10724" @default.
- W4300485812 hasPublicationYear "2021" @default.
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