Donin, J. and Mudrov, A. (2005) Dynamical Yang-Baxter equation and quantum vector bundles. Commun. Math. Phys., 254 (3). pp. 719-760. ISSN 1432-0916
Full text not available from this repository.Abstract
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, 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 its Levi subalgebra. Using this twist, we obtain an equivariant star product quantization of vector bundles on semisimple coadjoint orbits of reductive Lie groups.
| Item Type: | Article |
|---|---|
| Academic Units: | The University of York > Mathematics (York) |
| Depositing User: | York RAE Import |
| Date Deposited: | 12 Jun 2009 11:08 |
| Last Modified: | 12 Jun 2009 11:08 |
| Published Version: | http://dx.doi.org/10.1007/s00220-004-1247-8 |
| Status: | Published |
| Publisher: | Springer Berlin / Heidelberg |
| Identification Number: | 10.1007/s00220-004-1247-8 |
| URI: | http://eprints.whiterose.ac.uk/id/eprint/5919 |
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