Dual canonical bases, quantum shuffles and q-characters
| dc.creator | Leclerc, Bernard | |
| dc.date | 2002-09-11 | |
| dc.date | 2003-06-17 | |
| dc.date.accessioned | 2026-07-07T04:50:47Z | |
| dc.date.available | 2026-07-07T04:50:47Z | |
| dc.description | Rosso and Green have shown how to embed the positive part $U_q(n)$ of a quantum enveloping algebra $U_q(g)$ in a quantum shuffle algebra. In this paper we study some properties of the image of the dual canonical basis $B^*$ of $U_q(n)$ under this embedding $Φ$. This is motivated by the fact that when $g$ is of type $A_r$, the elements of $Φ(B^*)$ are $q$-analogues of irreducible characters of the affine Iwahori-Hecke algebras attached to the groups $GL(m)$ over a $p$-adic field. | |
| dc.description | 36 pages, final version, to appear in Math. Zeitschrift | |
| dc.identifier | https://arxiv.org/abs/math/0209133 | |
| dc.identifier | http://arxiv.org/abs/math/0209133 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64916 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Representation Theory | |
| dc.subject | 17B37, 20G42, 20C08 | |
| dc.title | Dual canonical bases, quantum shuffles and q-characters | |
| dc.type | text |