On q-deformed gl(l+1)-Whittaker function
| dc.creator | Gerasimov, Anton | |
| dc.creator | Lebedev, Dimitri | |
| dc.creator | Oblezin, Sergey | |
| dc.date | 2008-03-02 | |
| dc.date.accessioned | 2026-07-07T09:24:19Z | |
| dc.date.available | 2026-07-07T09:24:19Z | |
| dc.description | We propose new explicit form of q-deformed Whittaker functions solving q-deformed gl(l+1)-Toda chains. In the limit q->1 constructed solutions reduce to classical class one gl(l+1)-Whittaker functions in the form proposed by Givental. An important property of the proposed expression for the q-deformed gl(l+1)-Whittaker function is that it can be represented as a character of C*x GL(l+1). This provides a q-version of the Shintani-Casselman-Shalika formula for p-adic Whittaker function. The Shintani-Casselman-Shalika formula is recovered in the limit q->0 when the q-deformed Whittaker function is reduced to a character of a finite-dimensional representation of gl(l+1) expressed through Gelfand-Zetlin bases. | |
| dc.description | 20 pages | |
| dc.identifier | https://arxiv.org/abs/0803.0145 | |
| dc.identifier | http://arxiv.org/abs/0803.0145 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/156055 | |
| dc.subject | Representation Theory | |
| dc.title | On q-deformed gl(l+1)-Whittaker function | |
| dc.type | text |