$B_2$-crystals: axioms, structure, models

Abstract

We present a list of ``local'' axioms and an explicit combinatorial construction for the regular $B_2$-crystals (crystal graphs of highest weight integrable modules over $U_q(s{p}_4)$). Also a new combinatorial model for these crystals is developed.

33 pages, 9 figures, this paper is updated version of published version in Journal of Combinatorial Theory, Series A Volume 116, Issue 2, February 2009, Pages 265-289

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