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 $B_{2}$ regular crystals and thus for regular crystals associated with a finite GCM except $G_{2}$ and an affine GCM except $A^{(1)}_{1},G^{(1)}_{2},A^{(2)}_{2},D^{(3)}_{4}$.
Citation
Shunsuke Tsuchioka. "A local characterization of $B_{2}$ regular crystals." Proc. Japan Acad. Ser. A Math. Sci. 97 (8) 51 - 56, October 2021. https://doi.org/10.3792/pjaa.97.010
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