Monomial Relization of Crystal Bases for Special Linear Lie Algebras

2003/03/19 by Seok‐Jin Kang, Seok-Jin Kang, Kang, Seok-Jin +4
Mathematics · #05E10 #81R50 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #math.RT #msc:05E10 #msc:81R50

paper · pdf · doi:10.48550/arxiv.math/0303232

15 pages

arxiv created 2003/03/19 · openalex publication_date 2003/03/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a new realization of crystal bases for finite dimensional irreducible modules over special linear Lie algebras using the monomials introduced by H. Nakajima. We also discuss the connection between this monomial realization and the tableau realization given by Kashiwara and Nakashima.

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