Ribbon Tableaux and the Heisenberg Algebra
| dc.creator | Lam, Thomas | |
| dc.date | 2003-10-16 | |
| dc.date | 2003-11-10 | |
| dc.date.accessioned | 2026-07-07T05:01:58Z | |
| dc.date.available | 2026-07-07T05:01:58Z | |
| dc.description | Lascoux, Leclerc and Thibon have introduced symmetric functions which are spin and weight generating functions for ribbon tableaux. This article is aimed at studying these `ribbon functions' in analogy with Schur functions. In particular we will describe ribbon Pieri and Murnagham-Nakayama formulae, a ribbon Cauchy identity and an algebra involution which `conjugates' the ribbon functions. We will study these functions in the context of the action of the Heisenberg algebra on the Fock space representation of the quantum affine algebra U_q(sl_n)^, discovered by Kashiwara, Miwa and Stern. We will also connect our formulae with the ribbon insertion of Shimozono and White, giving combinatorial proofs for the domino n=2 case. | |
| dc.description | 44 pages. Some corrections and additions. References updated | |
| dc.identifier | https://arxiv.org/abs/math/0310250 | |
| dc.identifier | http://arxiv.org/abs/math/0310250 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68880 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Combinatorics | |
| dc.subject | Representation Theory | |
| dc.title | Ribbon Tableaux and the Heisenberg Algebra | |
| dc.type | text |