A note on U_q(D₄⁽³⁾) - Demazure crystals

2013/07/29 by Alyssa Armstrong, Alyssa M. Armstrong, Kailash C. Misra +2
Mathematics · Physics and Astronomy · #17B10 #17B37 #17B67 #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #math.QA #msc:17B10 #msc:17B37 #msc:17B67

paper · pdf · doi:10.48550/arxiv.1307.7674

10 pages

arxiv created 2013/07/29 · openalex publication_date 2013/07/29 · arxiv updated 2013/07/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that there exists a suitable sequence \w^(k)\_{k ≥ 0} of Weyl group elements for the perfect crystal B = B^1,3l such that the path realizations of the Demazure crystals B_w^(k)(lΛ₂) for the quantum affine algebra U_q(D₄⁽³⁾) have tensor product like structure with mixing index κ=1.

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