Singular Polynomials for the Symmetric Group and Krawtchouk Polynomials
| dc.creator | Dunkl, Charles F. | |
| dc.date | 2003-10-16 | |
| dc.date.accessioned | 2026-07-07T05:01:58Z | |
| dc.date.available | 2026-07-07T05:01:58Z | |
| dc.description | A singular polynomial is one which is annihilated by all Dunkl operators for a certain parameter value. These polynomials were first studied by Dunkl, de Jeu and Opdam, (Trans. Amer. Math. Soc. 346 (1994), 237-256). This paper constructs a family of such polynomials associated to the irreducible representation (N-2,1,1) of the symmetric group S_N for odd N and parameter values -1/2, -3/2, -5/2,... . The method depends on the use of Krawtchouk polynomials to carry out a change of variables in a generating function involved in the construction of nonsymmetric Jack polynomials labeled by (m,n,0,....), m>=n. | |
| dc.description | submitted to Proceedings of 10th Kravchuk International Conference (2004), 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0310249 | |
| dc.identifier | http://arxiv.org/abs/math/0310249 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68879 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 33C80, 20C30 | |
| dc.title | Singular Polynomials for the Symmetric Group and Krawtchouk Polynomials | |
| dc.type | text |