On classification of dynamical r-matrices
| dc.creator | Schiffmann, Olivier | |
| dc.date | 1997-06-17 | |
| dc.date | 1997-09-25 | |
| dc.date.accessioned | 2026-07-07T09:08:48Z | |
| dc.date.available | 2026-07-07T09:08:48Z | |
| dc.description | Using recent results of P. Etingof and A. Varchenko on the Classical Dynamical Yang-Baxter equation, we reduce the classification of dynamical r-matrices r on a commutative subalgebra l of a Lie algebra g to a purely algebraic problem under some technical conditions on the symmetric part of r. Using this, we then classify all non skew-symmetric dynamical r-matrices when g is a simple Lie algebra and l a commutative subalgebra containing a regular semisimple element. This partially answers a question in [EV] q-alg/9703040 and generalizes the Belavin-Drinfeld classification of constant r-matrices. This classification is similar and in some sense simpler than the Belavin-Drinfeld classification. | |
| dc.description | 18 pages, Latex 2e, 10 figures. Part 1 is largely rewritten | |
| dc.identifier | https://arxiv.org/abs/q-alg/9706017 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9706017 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150853 | |
| dc.subject | Quantum Algebra | |
| dc.title | On classification of dynamical r-matrices | |
| dc.type | text |