Vladimir I. Danilov, Alexander V. Karzanov
Regular A_n-crystals are certain edge-colored directed graphs associated with representations of the quantized universal enveloping algebra U_q(sln+1). In this paper, we investigate the maximal connected subcrystals of a crystal K, characterized by colors ranging from 1 to n-1 and colors 2 to n, and we explore the interlacing structure between these pairs of subcrystals. The objective is to derive a recursive description of the combinatorial structure of K and to develop a systematic procedure for assembling K. Utilizing graph-theoretic methodologies, we systematically analyze the properties of these crystals and demonstrate the application of our findings in the broader context of representation theory. Our results provide insights into the structure of regular crystals of type A and establish a foundational understanding that can be used in further studies of colored crystals. This work continues our previous combinatorial investigations, contributing to the understanding of the relationships among different types of regular crystals and enhancing the theoretical framework of crystal bases in quantum algebra.
@article{49c49d84-109a-495f-8c62-2687e28749f1,
title={Assembling crystals of type A1},
author={Vladimir I. Danilov and Alexander V. Karzanov},
year={2026},
language={en}
}TY - JOUR TI - Assembling crystals of type A1 AU - Vladimir I. Danilov AU - Alexander V. Karzanov PY - 2026 LA - en ER -
Unknown, Unknown
This chapter discusses metal casting processes, highlighting the diversity and common characteristics among them. The objective is to elucidate the fu
Unknown, Unknown
This study focuses on the fundamental characteristics of solid iron, which is predominantly composed of iron atoms and provides a basis for understand
Ir. Méshac KIME ILUNGA
Ce document traite des procédés métallurgiques spéciaux, en mettant particulièrement l'accent sur l'extraction liquide-liquide, un processus mis au po
Copper solvent extraction units at large hydrometallurgical plants face constraints in metal recovery, phase disengagement, and reagent consumption, d
Non spécifié
L'hydrométallurgie du cuivre, principalement axée sur les minerais oxydés facilement solubles, s'applique également aux minerais sulfurés ou mixtes ap