Similarity and Kirillov-Schilling-Shimozono bijection

2015/04/10 by Masato Okado, Okado, Masato
Mathematics · #05A19 #05E10 #81R10 #81R50 #Combinatorics (math.CO) #FOS: Mathematics #Quantum Algebra (math.QA) #math.CO #math.QA #msc:05A19 #msc:05E10 #msc:81R10 #msc:81R50

paper · pdf · doi:10.48550/arxiv.1504.02568

14 pages

arxiv created 2015/04/10 · arxiv updated 2015/04/13

Abstract

The behavior of the Kirillov-Schilling-Shimozono bijection is examined under the similarity map on Kirillov-Reshetikhin crystals. It enables us to define this bijection over ℚ. Conjectures on the extension to ℝ is also presented.

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• A geometric interpretation of Kirillov's Conjecture
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