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Admissible Pictures and Littlewood-Richardson Crystals

2009/08/17 by Toshiki Nakashima, Nakashima, Toshiki, Miki Shimojo +1
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #math.CO #math.QA #msc:05E10 #msc:17B20 #msc:17B37

paper · pdf · doi:10.48550/arxiv.0908.2366

arxiv created 2009/08/17 · arxiv updated 2009/12/01

Abstract

We present a one-to-one correspondence between the set of admissible pictures and the Littlewood-Richardson crystals. As a simple consequence, we shall show that the set of pictures does not depend on the choice of admissible orders.

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