Dynamical Yang-Baxter equation and quantum vector bundles
| dc.creator | Donin, J. | |
| dc.creator | Mudrov, A. | |
| dc.date | 2003-06-02 | |
| dc.date | 2003-12-18 | |
| dc.date.accessioned | 2026-07-07T04:58:28Z | |
| dc.date.available | 2026-07-07T04:58:28Z | |
| dc.description | We develop a categorical approach to the dynamical Yang-Baxter equation (DYBE) for arbitrary Hopf algebras. In particular, we introduce the notion of a dynamical extension of a monoidal category, which provides a natural environment for quantum dynamical R-matrices, dynamical twists, {\em etc}. In this context, we define dynamical associative algebras and show that such algebras give quantizations of vector bundles on coadjoint orbits. We build a dynamical twist for any pair of a reductive Lie algebra and their Levi subalgebra. Using this twist, we obtain an equivariant star product quantization of vector bundles on semisimple coadjoint orbits of reductive Lie groups. | |
| dc.description | 55 pages, AMS Latex, some corrections and additions | |
| dc.identifier | https://arxiv.org/abs/math/0306028 | |
| dc.identifier | http://arxiv.org/abs/math/0306028 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67653 | |
| dc.subject | Quantum Algebra | |
| dc.title | Dynamical Yang-Baxter equation and quantum vector bundles | |
| dc.type | text |