Decorated Geometric Crystals and Polyhedral Realizations of type D_n

2013/08/05 by Toshiki Nakashima, Nakashima, Toshiki
Mathematics · Physics and Astronomy · #17B37 #17B67 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.CO #math.QA #math.RT #msc:17B37 #msc:17B67

paper · pdf · doi:10.48550/arxiv.1308.0981

14 pages, to appear in Contemporary Mathematics. arXiv admin note: substantial text overlap with arXiv:1203.2112

arxiv created 2013/08/05 · openalex publication_date 2013/08/05 · arxiv updated 2013/08/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is a continuation of [15, 16]. We shall show that for type D_n the realization of crystal bases obtained from the decorated geometric crystals in [2] coincides with the polyhedral realizations of crystal bases.

Citations

• Decorated Geometric Crystals, Polyhedral and Monomial Realizations of Crystal Bases

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