Quantization of classical dynamical $r$-matrices with nonabelian base
| dc.creator | Enriquez, B. | |
| dc.creator | Etingof, P. | |
| dc.date | 2003-11-13 | |
| dc.date | 2003-11-28 | |
| dc.date.accessioned | 2026-07-07T05:02:52Z | |
| dc.date.available | 2026-07-07T05:02:52Z | |
| dc.description | We construct some classes of dynamical $r$-matrices over a nonabelian base, and quantize some of them by constructing dynamical (pseudo)twists in the sense of Xu. This way, we obtain quantizations of $r$-matrices obtained in earlier work of the second author with Schiffmann and Varchenko. A part of our construction may be viewed as a generalization of the Donin-Mudrov nonabelian fusion construction. We apply these results to the construction of equivariant star-products on Poisson homogeneous spaces, which include some homogeneous spaces introduced by De Concini. | |
| dc.description | 40 pages; added references; corrected critical cocycle | |
| dc.identifier | https://arxiv.org/abs/math/0311224 | |
| dc.identifier | http://arxiv.org/abs/math/0311224 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69182 | |
| dc.subject | Quantum Algebra | |
| dc.title | Quantization of classical dynamical $r$-matrices with nonabelian base | |
| dc.type | text |