A bijection between Littlewood-Richardson tableaux and rigged configurations

Details A bijection between Littlewood-Richardson tableaux and rigged configurations A bijection between Littlewood-Richardson tableaux and rigged configurations

1999-01-08

arxiv.org/abs/math/9901037v1

Selecta Mathematica, N.S., 8 (2002) 67-135

Mathematics

Combinatorics

66 pages, AMS-LaTeX, requires xy.sty and related files

Scientific paper

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.

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