$B_2$-crystals: axioms, structure, models

V. I. Danilov; A. V. Karzanov; G. A. Koshevoy

$B_2$-crystals: axioms, structure, models

Representation Theory 2020-01-09 v2 Combinatorics

Authors: V. I. Danilov , A. V. Karzanov , G. A. Koshevoy

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

Keywords

crystal bases combinatorics local-global principles

Cite

@article{arxiv.0708.2198,
  title  = {$B_2$-crystals: axioms, structure, models},
  author = {V. I. Danilov and A. V. Karzanov and G. A. Koshevoy},
  journal= {arXiv preprint arXiv:0708.2198},
  year   = {2020}
}

Comments

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

$B_2$-crystals: axioms, structure, models

Abstract

Keywords

Cite

Comments

Related papers