Coincident root loci and Jack and Macdonald polynomials for special values of the parameters
| dc.creator | Kasatani, M. | |
| dc.creator | Miwa, T. | |
| dc.creator | Sergeev, A. N. | |
| dc.creator | Veselov, A. P. | |
| dc.date | 2004-04-05 | |
| dc.date.accessioned | 2026-07-07T05:07:06Z | |
| dc.date.available | 2026-07-07T05:07:06Z | |
| dc.description | We consider the coincident root loci consisting of the polynomials with at least two double roots andpresent a linear basis of the corresponding ideal in the algebra of symmetric polynomials in terms of the Jack polynomials with special value of parameter $α= -2.$ As a corollary we present an explicit formula for the Hilbert-Poincarè series of this ideal and the generator of the minimal degree as a special Jack polynomial. A generalization to the case of the symmetric polynomials vanishing on the double shifted diagonals and the Macdonald polynomials specialized at $t^2 q = 1$ is also presented. We also give similar results for the interpolation Jack polynomials. | |
| dc.description | 19 pages, Proceedings of "Jack and Macdonald polynomials" meeting (ICMS, Edinburgh, September 2003) | |
| dc.identifier | https://arxiv.org/abs/math/0404079 | |
| dc.identifier | http://arxiv.org/abs/math/0404079 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70729 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Combinatorics | |
| dc.subject | 33D52, 05E05 | |
| dc.title | Coincident root loci and Jack and Macdonald polynomials for special values of the parameters | |
| dc.type | text |