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- W3209106916 abstract "We present a cup product formula on the Hochschild cohomology of a family of quiver algebras. We use the formula to determine the set of homogeneous non-nilpotent Hochschild cocycles and construct a canonical isomorphism between Hochschild cohomology modulo nilpotents and a subalgebra of k[x,y] that is not finitely generated. For some members of the family, we present the Gerstenhaber ideal of homogeneous nilpotent cocycles using homotopy lifting technique. We then determine their Hochschild cohomology modulo the weak Gerstenhaber ideal generated by nilpotent elements, thereby providing an answer to a question of Reiner Hermann." @default.
- W3209106916 created "2021-11-08" @default.
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- W3209106916 date "2021-10-21" @default.
- W3209106916 modified "2023-10-17" @default.
- W3209106916 title "Cup product and Gerstenhaber bracket on Hochschild cohomology of a family of quiver algebras" @default.
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- W3209106916 doi "https://doi.org/10.1080/00927872.2021.1990941" @default.
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