$B_2$-crystals: axioms, structure, models

Details $B_2$-crystals: axioms, structure, models $B_2$-crystals: axioms, structure, models

2007-08-16

arxiv.org/abs/0708.2198v1

Mathematics

Representation Theory

30 pages, 9 figures, this paper is a deeply revised and improved version of arXiv:math/0611641

Scientific paper

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 $U_q(sp_4)$). Also a new combinatorial model for these
crystals is developed.

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