Deformations of linear Poisson orbifolds
| dc.creator | Halbout, Gilles | |
| dc.creator | Oudom, Jean-Michel | |
| dc.creator | Tang, Xiang | |
| dc.date | 2008-06-30 | |
| dc.date.accessioned | 2026-07-07T09:47:34Z | |
| dc.date.available | 2026-07-07T09:47:34Z | |
| dc.description | Let $Γ$ be a finite group acting faithfully and linearly on a vector space $V$. Let $T(V)$ ($S(V)$) be the tensor (symmetric) algebra associated to $V$ which has a natural $Γ$ action. We study generalized quadratic relations on the tensor algebra $T(V)\rtimes Γ$. We prove that the quotient algebras of $T(V)\rtimes Γ$ by such relations satisfy PBW property. Such quotient algebras can be viewed as quantizations of linear or constant Poisson structures on $S(V)\rtimes Γ$, and are natural generalizations of symplectic reflection algebras. | |
| dc.description | 23 pages | |
| dc.identifier | https://arxiv.org/abs/0807.0027 | |
| dc.identifier | http://arxiv.org/abs/0807.0027 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/163928 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Rings and Algebras | |
| dc.title | Deformations of linear Poisson orbifolds | |
| dc.type | text |