The small quantum group as a quantum double
| dc.creator | Etingof, Pavel | |
| dc.creator | Gelaki, Shlomo | |
| dc.date | 2009-02-02 | |
| dc.date | 2009-05-27 | |
| dc.date.accessioned | 2026-07-07T13:18:04Z | |
| dc.date.available | 2026-07-07T13:18:04Z | |
| dc.description | We prove that the quantum double of the quasi-Hopf algebra A_q(g) of dimension n^{dim g} attached in arXiv:math/0403096 to a simple complex Lie algebra g and a primitive root of unity q of order n^2 is equivalent to Lusztig's small quantum group u_q(g) (under some conditions on n). We also give a conceptual construction of A_q(g) using the notion of de-equivariantization of tensor categories. | |
| dc.description | latex, 6 pages; proof of Theorem 4.1 added, a few references added | |
| dc.identifier | https://arxiv.org/abs/0902.0332 | |
| dc.identifier | http://arxiv.org/abs/0902.0332 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/231317 | |
| dc.subject | Quantum Algebra | |
| dc.title | The small quantum group as a quantum double | |
| dc.type | text |