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Combinatorics of regular A2 crystals

Vladimir I. Danilov, Alexander V. Karzanov

2026encrystal graphscombinatoricsrepresentation theorysimply-laced algebrasdirected graphslattices

Abstract

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We show that a connected regular A2-crystal (the crystal graph of a highest weight integrable module over Uq (sl3)) can be produced from two half-grids by replicating them and gluing together in a certain way. Also some extensions and related aspects are discussed.

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Cite This Work

@article{2e9c2765-4e61-4c05-86ca-15d336a1acf9,
  title={Combinatorics of regular A2 crystals},
  author={Vladimir I. Danilov and Alexander V. Karzanov},
  year={2026},
  language={en}
}
TY  - JOUR
TI  - Combinatorics of regular A2 crystals
AU  - Vladimir I. Danilov
AU  - Alexander V. Karzanov
PY  - 2026
LA  - en
ER  -

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