Bijections among combinatorial models for shifted Littlewood-Richardson coefficients

Choi, Seung-Il; Nam, Sun-Young; Oh, Young-Tak

doi:10.1016/j.jcta.2014.07.007

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Bijections among combinatorial models for shifted Littlewood-Richardson coefficients

Choi, Seung-Il;
Nam, Sun-Young;
Oh, Young-Tak

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6

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8

초록

We provide bijections among three combinatorial models for shifted Littlewood-Richardson coefficients; Littlewood-Richardson-Stembridge tableaux, A-good semistandard decomposition tableaux, and shifted Littlewood-Richardson decomposition tableaux. To do this, we construct a bijection between the set of semistandard shifted decomposition tableaux and the set of reverse semistandard shifted decomposition tableaux. (C) 2014 Elsevier Inc. All rights reserved.

키워드

Shifted Young tableau; Semistandard decomposition tableau; Shifted Littlewood-Richardson coefficient; TABLEAUX

제목: Bijections among combinatorial models for shifted Littlewood-Richardson coefficients

저자: Choi, Seung-Il; Nam, Sun-Young; Oh, Young-Tak

DOI: 10.1016/j.jcta.2014.07.007

발행일: 2014-11

유형: Article

저널명: Journal of Combinatorial Theory - Series A

권: 128

호: 1

페이지: 56 ~ 83