V.I.Danilov, A.V.Karzanov
We present a list of “local” axioms and an explicit combinatorial construction for the regular B2-crystals, which are the crystal graphs of highest weight integrable modules over Uq (sp4). In this study, we develop a new combinatorial model for these crystals by investigating the properties and structures of B2-crystals as linked to their highest weight representations. Utilizing combinatorial techniques, we create a framework that allows for detailed analysis and characterization of these structures based on edge-colored graphs. Our findings reveal significant insights into the structural properties of B2-crystals and establish connections between local axioms and global combinatorial models. This work not only enriches the theoretical foundations of crystal theory but also opens new avenues for further exploration in representation theory and combinatorial algebra. The development of the new model is particularly crucial for understanding the intricate behaviors of B2-crystals and their applications in related mathematical disciplines.
@article{353742ca-9a62-46ca-a3ec-ad37229f3f50,
title={crystals Axioms structure models},
author={V.I.Danilov and A.V.Karzanov},
year={2026},
language={en}
}TY - JOUR TI - crystals Axioms structure models AU - V.I.Danilov AU - A.V.Karzanov PY - 2026 LA - en ER -
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