The Bailey lemma and Kostka polynomials
Combinatorics
2008-07-09 v1 Quantum Algebra
Abstract
Using the theory of Kostka polynomials, we prove an A_{n-1} version of Bailey's lemma at integral level. Exploiting a new, conjectural expansion for Kostka numbers, this is then generalized to fractional levels, leading to a new expression for admissible characters of A_{n-1}^{(1)} and to identities for A-type branching functions.
Cite
@article{arxiv.math/0207030,
title = {The Bailey lemma and Kostka polynomials},
author = {S. Ole Warnaar},
journal= {arXiv preprint arXiv:math/0207030},
year = {2008}
}
Comments
39 pages, AMS-LaTeX