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- W1930863477 abstract "To any filtered algebra $A$ with Koszul associated graded algebra we associate a small dg algebra which calculates the $A_infty$ structure on the Hochschild cohomology of $A$. In particular, it calculates the cup product on Hochschild cohomology. This dg algebra is, as an algebra, simply the tensor product of $A$ and the Koszul dual of its associated graded algebra. We then show that the Hochschild cohomology algebra of any Ore localization of $A$ can be calculated by a localization of the dg algebra associated to $A$. As an application we directly calculate the Hochschild cohomology algebra of the universal enveloping algebra of the Heisenberg Lie algebra." @default.
- W1930863477 created "2016-06-24" @default.
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- W1930863477 date "2013-04-02" @default.
- W1930863477 modified "2023-09-27" @default.
- W1930863477 title "The Cup Product on Hochschild Cohomology for Localizations of Filtered Koszul Algebras" @default.
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