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oaioai:eprints.lib.hokudai.ac.jp:2115/69191

A bijection between Littlewood-Richardson tableaux and rigged configurations

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Publication date
1 January 1999
Publisher
Department of Mathematics, Hokkaido University
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    Abstract

    We define a bijection from Littlewood-Richardson tableaux to rigged configurations and show that it preserves the appropriate sta­tistics. This proves in particular a quasi-particle expression for the generalized Kostka polynomials' K R(q) labeled by a partition >. and a sequence of rectangles R. The generalized Kostka polynomials are q-analogues of multiplicities of the irreducible GL(n, C)-module V of highest weight >. in the tensor product yRi ® ••• ® yR£

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    Hokkaido University Collection of Scholarly and Academic Papers

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    Last time updated on 13/05/2018

    This paper was published in Hokkaido University Collection of Scholarly and Academic Papers.

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