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- W3004129605 abstract "A diagram of algebras is a functor valued in a category of associative algebras. I construct an operad acting on the Hochschild bicomplex of a diagram of algebras. Using this operad, I give a direct proof that the Hochschild cohomology of a diagram of algebras is a Gerstenhaber algebra. I also show that the total complex is an L∞-algebra. The same results are true for the reduced and asimplicial subcomplexes and asimplicial cohomology. This structure governs deformations of diagrams of algebras through the Maurer-Cartan equation." @default.
- W3004129605 created "2020-02-07" @default.
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- W3004129605 date "2023-09-01" @default.
- W3004129605 modified "2023-10-12" @default.
- W3004129605 title "Operations on the Hochschild bicomplex of a diagram of algebras" @default.
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- W3004129605 doi "https://doi.org/10.1016/j.aim.2023.109156" @default.
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