Quasi-bialgebras and dynamical r-matrices
| dc.creator | Parmentier, Serge | |
| dc.creator | Pujol, Romaric | |
| dc.date | 2004-07-22 | |
| dc.date.accessioned | 2026-07-07T05:10:35Z | |
| dc.date.available | 2026-07-07T05:10:35Z | |
| dc.description | We study the relationship between general dynamical Poisson groupoids and Lie quasi-bialgebras. For a class of Lie quasi-bialgebras naturally compatible with a reductive decomposition, we extend the description of the moduli space of classical dynamical r-matrices of Etingof and Schiffmann. We construct, in each gauge orbit, an explicit analytic representative l. We translate the notion of duality for dynamical Poisson groupoids into a duality for Lie quasi-bialgebras. It is shown that duality maps the dynamical Poisson groupoid for l and a Lie quasi-bialgebra to the dynamical Poisson groupoid for the dual data. | |
| dc.description | latex 30 pages | |
| dc.identifier | https://arxiv.org/abs/math/0407382 | |
| dc.identifier | http://arxiv.org/abs/math/0407382 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71970 | |
| dc.subject | Quantum Algebra | |
| dc.title | Quasi-bialgebras and dynamical r-matrices | |
| dc.type | text |