2017/10/26 by Shunsuke Tsuchioka, Tsuchioka, Shunsuke
Mathematics · #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT
paper · pdf · doi:10.48550/arxiv.1710.09622
15 pages, submitted to a journal as a revision in October 2019
arxiv created 2020/01/04 · arxiv updated 2020/01/07
Stembridge characterized regular crystals associated with a simply-laced generalized Cartan matrix (GCM) in terms of local graph-theoretic quantities. We give a similar axiomatization for B2 regular crystals and thus for regular crystals associated with a finite GCM except G2 and an affine GCM except A(1)1,G(1)2,A(2)2,D(3)4.