A local characterization of B2 regular crystals
Abstract
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.
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