Polynomiality of the q,t-Kostka Revisited
| dc.creator | Garsia, A. M. | |
| dc.creator | Zabrocki, Mike | |
| dc.date | 2000-08-25 | |
| dc.date.accessioned | 2026-07-07T04:36:59Z | |
| dc.date.available | 2026-07-07T04:36:59Z | |
| dc.description | Let $K(q,t)= \|K_{\laμ}(q,t)\|_{\la,μ}$ be the Macdonald q,t-Kostka matrix and $K(t)=K(0,t)$ be the matrix of the Kostka-Foulkes polynomials K_{\laμ}(t). In this paper we present a new proof of the polynomiality of the q,t-Kostka coefficients that is both short and elementary. More precisely, we derive that $K(q,t)$ has entries in \ZZ[q,t] directly from the fact that the matrix $K(t)^{-1}$ has entries in \ZZ[t]. The proof uses only identities that can be found in the original paper [7] of Macdonald. | |
| dc.description | 19 pages; to appear in a Volume dedicated to the memory of G. C. Rota edited by Domenico Senato U. of Basilicata | |
| dc.identifier | https://arxiv.org/abs/math/0008199 | |
| dc.identifier | http://arxiv.org/abs/math/0008199 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59801 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Combinatorics | |
| dc.subject | 05E05 | |
| dc.title | Polynomiality of the q,t-Kostka Revisited | |
| dc.type | text |