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A bijection between Littlewood-Richardson tableaux and rigged configurations

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/83587

Title: A bijection between Littlewood-Richardson tableaux and rigged configurations
Authors: Kirillov,A. N Browse this author
Schilling, A. Browse this author
Shimozono, M. Browse this author
Keywords: Littlewood-Richardson tableaux
rigged configurations
generalized Kostka polynomials
Issue Date: 1-Jan-1999
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 441
Start Page: 1
End Page: 66
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£.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69191
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

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