B₂-crystals: axioms, structure, models

2007/08/16 by Danilov, V. I., Karzanov, A. V., Koshevoy, G. A.
#05C75 #05E99 #17B37 #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.0708.2198

Abstract

We present a list of ``local'' axioms and an explicit combinatorial construction for the regular B₂-crystals (crystal graphs of highest weight integrable modules over U_q(sp₄)). Also a new combinatorial model for these crystals is developed.

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