Algebra structure on the Hochschild cohomology of the ring of invariants of a Weyl algebra under a finite group
| dc.creator | Suarez-Alvarez, Mariano | |
| dc.date | 2001-09-10 | |
| dc.date.accessioned | 2026-07-07T04:43:20Z | |
| dc.date.available | 2026-07-07T04:43:20Z | |
| dc.description | Let $A_n$ be the $n$-th Weyl algebra, and let $G\subset\Sp_{2n}(\C)\subset\Aut(A_n)$ 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 $\C G$ with respect to a filtration defined in terms of the defining representation of $G$. | |
| dc.description | 13 pages | |
| dc.identifier | https://arxiv.org/abs/math/0109068 | |
| dc.identifier | http://arxiv.org/abs/math/0109068 | |
| dc.identifier | J. Algebra 248 (2002), pp. 291--306. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62176 | |
| dc.subject | K-Theory and Homology | |
| dc.title | Algebra structure on the Hochschild cohomology of the ring of invariants of a Weyl algebra under a finite group | |
| dc.type | text |