On the center of the small quantum group
| dc.creator | Lachowska, Anna | |
| dc.date | 2001-07-13 | |
| dc.date | 2002-07-25 | |
| dc.date.accessioned | 2026-07-07T04:42:35Z | |
| dc.date.available | 2026-07-07T04:42:35Z | |
| dc.description | Using the quantum Fourier transform F, we describe the block decomposition and multiplicative structure of a subalgebra Z + F(Z) in the center of the small quantum group u_l at a root of unity. It contains the previously known subalgebra Z, which is isomorphic to the algebra of characters of finite dimensional modules over u_l. We prove that the intersection $Z \cap F(Z)$ coincides with the annihilator of the radical of Z. The whole center of u_l coincides with the obtained subalgebra Z + F(Z) in case of sl_2, and is bigger than that in general. | |
| dc.description | 16 pages | |
| dc.identifier | https://arxiv.org/abs/math/0107098 | |
| dc.identifier | http://arxiv.org/abs/math/0107098 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61845 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 20G; 17B | |
| dc.title | On the center of the small quantum group | |
| dc.type | text |