A k-tableau characterization of k-Schur functions
Combinatorics
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/0505519,
title = {A k-tableau characterization of k-Schur functions},
author = {Luc Lapointe and Jennifer Morse},
journal= {arXiv preprint arXiv:math/0505519},
year = {2007}
}
Comments
19 pages