A bijection between Littlewood-Richardson tableaux and rigged configurations
Combinatorics
2007-05-23 v1 Quantum Algebra
Abstract
A bijection is defined from Littlewood-Richardson tableaux to rigged configurations. It is shown that this map preserves the appropriate statistics, thereby proving a quasi-particle expression for the generalized Kostka polynomials, which are q-analogues of multiplicities in tensor products of irreducible general linear group modules indexed by rectangular partitions.
Keywords
Cite
@article{arxiv.math/9901037,
title = {A bijection between Littlewood-Richardson tableaux and rigged configurations},
author = {Anatol N. Kirillov and Anne Schilling and Mark Shimozono},
journal= {arXiv preprint arXiv:math/9901037},
year = {2007}
}
Comments
66 pages, AMS-LaTeX, requires xy.sty and related files