Partitions, Vertex Operator Constructions and Multi-component KP equations
| dc.creator | Bergvelt, M. J. | |
| dc.creator | Kroode, A. P. E. ten | |
| dc.date | 1992-12-14 | |
| dc.date | 1992-12-15 | |
| dc.date.accessioned | 2026-07-07T09:01:05Z | |
| dc.date.available | 2026-07-07T09:01:05Z | |
| dc.description | For every partition of a positive integer $n$ in $k$ parts and every point of an infinite Grassmannian we obtain a solution of the $k$ component differential-difference KP hierarchy and a corresponding Baker function. A partition of $n$ also determines a vertex operator construction of the fundamental representations of the infinite matrix algebra $gl_\infty$ and hence a $τ$ function. We use these fundamental representations to study the Gauss decomposition in the infinite matrix group $Gl_\infty$ and to express the Baker function in terms of $τ$-functions. The reduction to loop algebras is discussed. | |
| dc.description | 55 pages (repaired TeX problem, hopefully) | |
| dc.identifier | https://arxiv.org/abs/hep-th/9212087 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9212087 | |
| dc.identifier | Pacific J. Math. 171 (1995) 23-88 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/148209 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Quantum Algebra | |
| dc.title | Partitions, Vertex Operator Constructions and Multi-component KP equations | |
| dc.type | text |