Crystal bases and monomials for U_q(G₂)-modules

2003/08/19 by Dong-Uy Shin, Shin, Dong-Uy
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT

paper · pdf · doi:10.48550/arxiv.math/0308176

14 pages

arxiv created 2003/08/19 · openalex publication_date 2003/08/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we give a new realization of crystal bases for irreducible highest weight modules over U_q(G₂) in terms of monomials. We also discuss the natural connection between the monomial realization and tableau realization.

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