A recursion and a combinatorial formula for Jack polynomials
| dc.creator | Knop, Friedrich | |
| dc.creator | Sahi, Siddhartha | |
| dc.date | 1996-10-15 | |
| dc.date.accessioned | 2026-07-07T09:17:17Z | |
| dc.date.available | 2026-07-07T09:17:17Z | |
| dc.description | Heckman and Opdam introduced a non-symmetric analogue of Jack polynomials using Cherednik operators. In this paper, we derive a simple recursion formula for these polynomials and formulas relating the symmetric Jack polynomials with the non-symmetric ones. These formulas are then implemented by a closed expression of symmetric and non-symmetric Jack polynomials in terms of certain tableaux. The main application is a proof of a conjecture of Macdonald stating certain integrality and positivity properties of Jack polynomials. | |
| dc.description | Preprint March 1996, to appear in Invent. Math., 15 pages, Plain TeX | |
| dc.identifier | https://arxiv.org/abs/q-alg/9610016 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9610016 | |
| dc.identifier | Invent. Math. 128 (1997), 9-22 | |
| dc.identifier | doi:10.1007/s002220050134 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153611 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 05Exx, 33Cxx | |
| dc.title | A recursion and a combinatorial formula for Jack polynomials | |
| dc.type | text |