A bijection between Littlewood-Richardson tableaux and rigged configurations

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

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Combinatorics, Quantum Algebra, 05A19; 05A15

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http://salesiana.dossiersoluciones.com/handle/123456789/77942

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9901037
 http://arxiv.org/abs/math/9901037
 Selecta Mathematica, N.S., 8 (2002) 67-135

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arXiv