Kazhdan-Lusztig polynomials and canonical basis
| dc.creator | Frenkel, Igor | |
| dc.creator | Khovanov, Mikhail | |
| dc.creator | Kirillov Jr, Alexander | |
| dc.date | 1997-09-29 | |
| dc.date.accessioned | 2026-07-07T09:17:42Z | |
| dc.date.available | 2026-07-07T09:17:42Z | |
| dc.description | In this paper we show that the Kazhdan-Lusztig polynomials (and, more generally, parabolic KL polynomials) for the group $S_n$ coincide with the coefficients of the canonical basis in $n$th tensor power of the fundamental representation of the quantum group $U_q sl_k$. We also use known results about canonical bases for $U_q sl_2$ to get a new proof of recurrent formulas for KL polynomials for maximal parabolic subgroups (geometrically, this case corresponds to Grassmanians), due to Lascoux-Schutzenberger and Zelevinsky. | |
| dc.description | 15 pages, AMSTeX, no figures | |
| dc.identifier | https://arxiv.org/abs/q-alg/9709042 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9709042 | |
| dc.identifier | Transform. Groups 3 (1998), no. 4, 321--336 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153763 | |
| dc.subject | Quantum Algebra | |
| dc.title | Kazhdan-Lusztig polynomials and canonical basis | |
| dc.type | text |