Vladimir I. Danilov, Alexander V. Karzanov
Regular An-crystals are certain edge-colored directed graphs which are related to representations of the quantized universal enveloping algebra Uq(sln+1). This study aims to characterize the interlacing structure of maximal connected subcrystals with colors ranging from 1 to n-1 and from 2 to n, thereby enabling a recursive description of the combinatorial structure of the crystal K. The methodology involves examining these n-colored regular crystals of type A and developing an efficient procedure for assembling K. The results indicate significant insights into the combinatorial features and structural aspects of regular crystals, as well as their application in representation theory. These findings contribute to the ongoing combinatorial investigation of crystals and expand on previous research, establishing a foundation for future work in this area.
@article{cbf7a346-bd98-4024-9e26-19ba2a8c2366,
title={Assembling crystals of type A},
author={Vladimir I. Danilov and Alexander V. Karzanov},
year={2026},
language={en}
}TY - JOUR TI - Assembling crystals of type A AU - Vladimir I. Danilov AU - Alexander V. Karzanov PY - 2026 LA - en ER -
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