A k-tableau characterization of k-Schur functions
| dc.creator | Lapointe, Luc | |
| dc.creator | Morse, Jennifer | |
| dc.date | 2005-05-24 | |
| dc.date.accessioned | 2026-07-07T05:20:14Z | |
| dc.date.available | 2026-07-07T05:20:14Z | |
| dc.description | We study k-Schur functions characterized by k-tableaux, proving combinatorial properties such as a k-Pieri rule and a k-conjugation. This new approach relies on developing the theory of k-tableaux, and includes the introduction of a weight-permuting involution on these tableaux that generalizes the Bender-Knuth involution. This work lays the groundwork needed to prove that the set of k-Schur Littlewood-Richardson coefficients contains the 3-point Gromov-Witten invariants; structure constants for the quantum cohomology ring. | |
| dc.description | 19 pages | |
| dc.identifier | https://arxiv.org/abs/math/0505519 | |
| dc.identifier | http://arxiv.org/abs/math/0505519 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75305 | |
| dc.subject | Combinatorics | |
| dc.subject | 05E05; 05E10 | |
| dc.title | A k-tableau characterization of k-Schur functions | |
| dc.type | text |