q-Analogs of symmetric function operators
| dc.creator | Zabrocki, Mike | |
| dc.date | 2000-08-24 | |
| dc.date | 2002-01-19 | |
| dc.date.accessioned | 2026-07-07T04:36:58Z | |
| dc.date.available | 2026-07-07T04:36:58Z | |
| dc.description | For any homomorphism V on the space of symmetric functions, we introduce an operation which creates a q-analog of V. By giving several examples we demonstrate that this quantization occurs naturally within the theory of symmetric functions. In particular, we show that the Hall-Littlewood symmetric functions are formed by taking this q-analog of the Schur symmetric functions and the Macdonald symmetric functions appear by taking the q-analog of the Hall-Littlewood symmetric functions in the parameter t. This relation is then used to derive recurrences on the Macdonald q,t-Kostka coefficients. | |
| dc.description | 17 pages - minor revisions to appear in Discrete Mathematics issue for LaCIM'2000 | |
| dc.identifier | https://arxiv.org/abs/math/0008188 | |
| dc.identifier | http://arxiv.org/abs/math/0008188 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59792 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Combinatorics | |
| dc.subject | 05E05 | |
| dc.title | q-Analogs of symmetric function operators | |
| dc.type | text |