Symmetric functions, codes of partitions and the KP hierarchy
| dc.creator | Carrell, S. R. | |
| dc.creator | Goulden, I. P. | |
| dc.date | 2009-02-25 | |
| dc.date.accessioned | 2026-07-07T12:46:47Z | |
| dc.date.available | 2026-07-07T12:46:47Z | |
| dc.description | We consider an operator of Bernstein for symmetric functions, and give an explicit formula for its action on an arbitrary Schur function. This formula is given in a remarkably simple form when written in terms of some notation based on the code of a partition. As an application, we give a new and very simple proof of a classical result for the KP hierarchy, which involves the Plucker relations for Schur function coefficients in a tau function for the hierarchy. This proof is especially compact because of a restatement that we give for the Plucker relations that is symmetrical in terms of partition code notation. | |
| dc.identifier | https://arxiv.org/abs/0902.4441 | |
| dc.identifier | http://arxiv.org/abs/0902.4441 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/221502 | |
| dc.subject | Combinatorics | |
| dc.subject | Algebraic Geometry | |
| dc.title | Symmetric functions, codes of partitions and the KP hierarchy | |
| dc.type | text |