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Algebra structure on the Hochschild cohomology of the ring of invariants of a Weyl algebra under a finite group | | Mariano Suarez-Alvarez
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10 Sep 2001 | | Journal: | J. Algebra 248 (2002), pp. 291--306. | | Subject: | K-Theory and Homology | math.KT | | Abstract: | Let $A_n$ be the $n$-th Weyl algebra, and let $GsubsetSp_{2n}(C)subsetAut(A_n)$ be a finite group of linear automorphisms of $A_n$. In this paper we compute the multiplicative structure on the Hochschild cohomology $HH^*(A_n^G)$ of the algebra of invariants of $G$. We prove that, as a graded algebra, $HH^*(A_n^G)$ is isomorphic to the graded algebra associated to the center of the group algebra $G$ with respect to a filtration defined in terms of the defining representation of $G$. | | Source: | arXiv, math.KT/0109068 | | Services: | Forum | Review | PDF | Favorites | |
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