An Explicit Algorithm of Rigged Configuration Bijection for the Adjoint Crystal of Type G₂⁽¹⁾

2021/04/21 by Toya Hiroshima, Hiroshima, Toya
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2104.10331

openalex publication_date 2021/04/21 · openalex created_date 2021/04/26 · openalex updated_date 2026/07/28

Abstract

We construct an explicit algorithm of the static-preserving bijection between the rigged configurations and the highest weight paths of the form (B^2,1)^{⊗ L} in the G₂⁽¹⁾ adjoint crystals.

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