The prime spectrum of a quantum Bruhat cell translate
| dc.creator | Gorelik, Maria | |
| dc.date | 1997-07-08 | |
| dc.date | 1997-07-10 | |
| dc.date.accessioned | 2026-07-07T09:08:48Z | |
| dc.date.available | 2026-07-07T09:08:48Z | |
| dc.description | The prime spectra of two families of algebras, $S^w$ and $\check{S}^w$, $w\in W,$ indexed by the Weyl group $W$ of a semisimple finitely dimensional are studied. The algebras $S^w$ have been introduced by A.~Joseph; they are $q$-analogues of the algebras of regular functions on $w$-translates of the open Bruhat cell of a semisimple Lie group $G$ corresponding to the Lie algebra $\fg$. We define a stratification of the spectra into components indexed by pairs $(y_1,y_2)$ of elements of the Weyl group satisfying $y_1\leq w\leq y_2$. Each component admits a unique minimal ideal which is explicitly described. We show the inclusion relation of closures to be that induced by Bruhat order. | |
| dc.description | AMS-LaTeX v1.2 (Compatibility mode), 35 pages | |
| dc.identifier | https://arxiv.org/abs/q-alg/9707009 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9707009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150856 | |
| dc.subject | Quantum Algebra | |
| dc.title | The prime spectrum of a quantum Bruhat cell translate | |
| dc.type | text |