Action of Coxeter groups on m-harmonic polynomials and KZ equations
| dc.creator | Felder, Giovanni | |
| dc.creator | Veselov, Alexander P. | |
| dc.date | 2001-08-02 | |
| dc.date | 2001-10-03 | |
| dc.date.accessioned | 2026-07-07T04:42:50Z | |
| dc.date.available | 2026-07-07T04:42:50Z | |
| dc.description | The Matsuo-Cherednik correspondence is an isomorphism from solutions of Knizhnik-Zamolodchikov equations to eigenfunctions of generalized Calogero-Moser systems associated to Coxeter groups G and a multiplicity function m on their root systems. We apply this correspondence to the most degenerate case of zero spectral parameters. The space of eigenfunctions is then the space H_m of m-harmonic polynomials, recently introduced in math-ph/0105014. We compute the Poincare' polynomials for the space H_m and of its isotypical components corresponding to each irreducible representation of the group G. We also give an explicit formula for m-harmonic polynomials of lowest positive degree in the S_n case. | |
| dc.description | 22 pages | |
| dc.identifier | https://arxiv.org/abs/math/0108012 | |
| dc.identifier | http://arxiv.org/abs/math/0108012 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61954 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Group Theory | |
| dc.subject | 20F55 (Primary) 13A50, 33D80 (Secondary) | |
| dc.title | Action of Coxeter groups on m-harmonic polynomials and KZ equations | |
| dc.type | text |