Bosonic formula for level-restricted paths
Quantum Algebra
2007-05-23 v2 Combinatorics
Representation Theory
Abstract
We prove a bosonic formula for the generating function of level-restricted paths for the infinite families of affine Kac-Moody algebras. In affine type A this yields an expression for the level-restricted generalized Kostka polynomials.
Cite
@article{arxiv.math/9812106,
title = {Bosonic formula for level-restricted paths},
author = {Anne Schilling and Mark Shimozono},
journal= {arXiv preprint arXiv:math/9812106},
year = {2007}
}
Comments
16 pages, AMS-LaTeX, style file axodraw.sty required; Lemma 4 extended to include perfect crystals of level 2