Monoidal structure of the category of u$_q^+$-modules
| dc.creator | Gunnlaugsdottir, Elisabet | |
| dc.date | 2000-10-12 | |
| dc.date.accessioned | 2026-07-25T22:57:18Z | |
| dc.description | We study the finite dimensional modules on the half-quantum group u_q^+ at a root of unity q, whose action can be extended to u_q (quotient of the quantized enveloping algebra of sl_2). We derive decomposition formulas of the tensor product of indecomposable u_q^+-modules, which includes the cases of the universal and the quantized universal enveloping algebra of sl_2 for q not a root of unity. We also prove that simple modules on u_q correspond exactly to the extendable non projective u_q^+-modules. We thus establish decomposition formulas for the tensor product of simple u_q-modules. | |
| dc.description | 18 pages | |
| dc.identifier | https://arxiv.org/abs/math/0010116 | |
| dc.identifier | http://arxiv.org/abs/math/0010116 | |
| dc.identifier.uri | https://dspace.dare.co.zw/handle/123456789/94117 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Representation Theory | |
| dc.subject | 20G42; 18D10 | |
| dc.title | Monoidal structure of the category of u$_q^+$-modules | |
| dc.type | text |