Dimensions of quantized tilting modules
| dc.creator | Ostrik, Viktor | |
| dc.date | 1999-02-15 | |
| dc.date | 2000-12-14 | |
| dc.date.accessioned | 2026-07-07T05:27:56Z | |
| dc.date.available | 2026-07-07T05:27:56Z | |
| dc.description | Let $U$ be the quantum group with divided powers in $p-$th root of unity for prime $p$. For any two-sided cell $A$ in the corresponding affine Weyl group one associates tensor ideal in the category of tilting modules over $U$. In this note we show that for any cell $A$ there exists tilting module $T$ from the corresponding tensor ideal such that biggest power of $p$ which divides $dim T$ is $p^{a(A)}$ where $a(A)$ is Lusztig's $a-$function. In new version some typos are corrected and exposition is improved following suggestions of the referee. | |
| dc.description | 6 pages, LaTex2e, submitted to Moscow Math. Journal | |
| dc.identifier | https://arxiv.org/abs/math/9902093 | |
| dc.identifier | http://arxiv.org/abs/math/9902093 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78110 | |
| dc.subject | Quantum Algebra | |
| dc.title | Dimensions of quantized tilting modules | |
| dc.type | text |