Quantum flag varieties, equivariant quantum D-modules and localization of quantum groups
| dc.creator | Backelin, Erik | |
| dc.creator | Kremnizer, Kobi | |
| dc.date | 2004-01-11 | |
| dc.date | 2004-01-27 | |
| dc.date.accessioned | 2026-07-07T08:42:27Z | |
| dc.date.available | 2026-07-07T08:42:27Z | |
| dc.description | Let $\Oq(G)$ be the algebra of quantized functions on an algebraic group $G$ and $\Oq(B)$ its quotient algebra corresponding to a Borel subgroup $B$ of $G$. We define the category of sheaves on the "quantum flag variety of $G$" to be the $\Oq(B)$-equivariant $\Oq(G)$-modules and proves that this is a proj-category. We construct a category of equivariant quantum $\mathcal{D}$-modules on this quantized flag variety and prove the Beilinson-Bernsteins localization theorem for this category in the case when $q$ is not a root of unity. | |
| dc.identifier | https://arxiv.org/abs/math/0401108 | |
| dc.identifier | http://arxiv.org/abs/math/0401108 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/141962 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Representation Theory | |
| dc.title | Quantum flag varieties, equivariant quantum D-modules and localization of quantum groups | |
| dc.type | text |