A local characterization of $B_2$ regular crystals
Quantum Algebra
2020-01-07 v3 Representation Theory
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 regular crystals and thus for regular crystals associated with a finite GCM except and an affine GCM except .
Keywords
Cite
@article{arxiv.1710.09622,
title = {A local characterization of $B_2$ regular crystals},
author = {Shunsuke Tsuchioka},
journal= {arXiv preprint arXiv:1710.09622},
year = {2020}
}
Comments
15 pages, submitted to a journal as a revision in October 2019