Fermionic formulas for level-restricted generalized Kostka polynomials and coset branching functions
量子代数
2009-10-31 v1 组合数学
摘要
Level-restricted paths play an important role in crystal theory. They correspond to certain highest weight vectors of modules of quantum affine algebras. We show that the recently established bijection between Littlewood--Richardson tableaux and rigged configurations is well-behaved with respect to level-restriction and give an explicit characterization of level-restricted rigged configurations. As a consequence a new general fermionic formula for the level-restricted generalized Kostka polynomial is obtained. Some coset branching functions of type are computed by taking limits of these fermionic formulas.
引用
@article{arxiv.math/0001114,
title = {Fermionic formulas for level-restricted generalized Kostka polynomials and coset branching functions},
author = {Anne Schilling and Mark Shimozono},
journal= {arXiv preprint arXiv:math/0001114},
year = {2009}
}
备注
67 pages, axodraw style file needed