Duality and self-duality for dynamical quantum groups
| dc.creator | Rosengren, Hjalmar | |
| dc.date | 2001-07-31 | |
| dc.date.accessioned | 2026-07-07T06:21:50Z | |
| dc.date.available | 2026-07-07T06:21:50Z | |
| dc.description | We define a natural concept of duality for the h-Hopf algebroids introduced by Etingof and Varchenko. We prove that the special case of the trigonometric SL(2) dynamical quantum group is self-dual, and may therefore be viewed as a deformation both of the function algebra F(SL(2)) and of the enveloping algebra U(sl(2)). Matrix elements of the self-duality in the Peter-Weyl basis are 6j-symbols; this leads to a new algebraic interpretation of the hexagon identity or quantum dynamical Yang-Baxter equation for quantum and classical 6j-symbols. | |
| dc.description | 26 pages | |
| dc.identifier | https://arxiv.org/abs/math/0107225 | |
| dc.identifier | http://arxiv.org/abs/math/0107225 | |
| dc.identifier | Algebr. Represent. Theory 7 (2004), 363-393 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/95727 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 17B37, 20G42 | |
| dc.title | Duality and self-duality for dynamical quantum groups | |
| dc.type | text |