Tau-functions as highest weight vectors for W_{1+infty} algebra
| dc.creator | Bakalov, B. | |
| dc.creator | Horozov, E. | |
| dc.creator | Yakimov, M. | |
| dc.date | 1995-10-30 | |
| dc.date | 1996-02-03 | |
| dc.date.accessioned | 2026-07-07T10:58:38Z | |
| dc.date.available | 2026-07-07T10:58:38Z | |
| dc.description | For each r = (r_1, r_2,...,r_N) we construct a highest weight module M_r of the Lie algebra W_{1+infty}. The highest weight vectors are specific tau-functions of the N-th Gelfand--Dickey hierarchy. We show that these modules are quasifinite and we give a complete description of the reducible ones together with a formula for the singular vectors. This paper is the first of a series of papers (q-alg/9602010, q-alg/9602011, q-alg/9602012) on the bispectral problem. | |
| dc.description | 13 pages, LaTeX2e, uses amsfonts.sty, no figures; references added | |
| dc.identifier | https://arxiv.org/abs/hep-th/9510211 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9510211 | |
| dc.identifier | J.Phys.A29:5565-5574,1996 | |
| dc.identifier | doi:10.1088/0305-4470/29/17/027 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/187173 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Tau-functions as highest weight vectors for W_{1+infty} algebra | |
| dc.type | text |