Quantization of Alekseev-Meinrenken dynamical r-matrices
| dc.creator | Enriquez, Benjamin | |
| dc.creator | Etingof, Pavel | |
| dc.date | 2003-02-06 | |
| dc.date | 2003-03-01 | |
| dc.date.accessioned | 2026-07-07T04:54:56Z | |
| dc.date.available | 2026-07-07T04:54:56Z | |
| dc.description | We quantize the Alekseev-Meinrenken solution r to the classical dynamical Yang-Baxter equation, associated to a Lie algebra g with an element t in S^2(g)^g. Namely, we construct a dynamical twist J with nonabelian base in the sense of P. Xu, whose quasiclassical limit is r-t/2. This twist gives rise to a dynamical quantum R-matrix, and also provides a quantization of the quasi-Poisson manifold and Poisson groupoid associated to r. The twist J is obtained by an appropriate renormalization of the Knizhnik-Zamolodchikov associator for g, introduced by Drinfeld. | |
| dc.description | 15 pages, latex; in the new version the results were extended to the case of Lie algebras with an invariant element in the third exterior power | |
| dc.identifier | https://arxiv.org/abs/math/0302067 | |
| dc.identifier | http://arxiv.org/abs/math/0302067 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66457 | |
| dc.subject | Quantum Algebra | |
| dc.title | Quantization of Alekseev-Meinrenken dynamical r-matrices | |
| dc.type | text |