A differential ideal of symmetric polynomials spanned by Jack polynomials at $β=-(r-1)/(k+1)$
| dc.creator | Feigin, B. | |
| dc.creator | Jimbo, M. | |
| dc.creator | Miwa, T. | |
| dc.creator | Mukhin, E. | |
| dc.date | 2001-12-12 | |
| dc.date.accessioned | 2026-07-07T04:45:13Z | |
| dc.date.available | 2026-07-07T04:45:13Z | |
| dc.description | For each pair of positive integers (k,r) such that k+1,r-1 are coprime, we introduce an ideal $I^{(k,r)}_n$ of the ring of symmetric polynomials. The ideal $I^{(k,r)}_n$ has a basis consisting of Jack polynomials with parameter $β=-(r-1)/(k+1)$, and admits an action of a family of differential operators of Dunkl type including the positive half of the Virasoro algebra. The space $I^{(k,2)}_n$ coincides with the space of all symmetric polynomials in $n$ variables which vanish when $k+1$ variables are set equal. The space $I_n^{(2,r)}$ coincides with the space of correlation functions of an abelian current of a vertex operator algebra related to Virasoro minimal series (3,r+2). | |
| dc.description | Latex, 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0112127 | |
| dc.identifier | http://arxiv.org/abs/math/0112127 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62878 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Combinatorics | |
| dc.title | A differential ideal of symmetric polynomials spanned by Jack polynomials at $β=-(r-1)/(k+1)$ | |
| dc.type | text |