Perfectness of Kirillov-Reshetikhin Crystals B^r,s for types E₆⁽¹⁾ and E₇⁽¹⁾ with a minuscule node r

2021/07/19 by Toya Hiroshima, Hiroshima, Toya
Mathematics · Physics and Astronomy · #05E10 #17B25 #17B37 #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2107.08614

openalex publication_date 2021/07/19 · openalex created_date 2021/08/02 · openalex updated_date 2026/07/28

Abstract

We prove the perfectness of Kirillov-Reshetikhin crystals B^r,s for types E₆⁽¹⁾ and E₇⁽¹⁾ with r being the minuscule node and s≥ 1 using the polytope model of KR crystals introduced by Jang.

Citations

• Existence of Kirillov–Reshetikhin crystals for nonexceptional types

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