Vladimir I. Danilov, Alexander V. Karzanov
This paper explores the combinatorial structure of regular An-, Bn-, and Cn-crystals, represented as edge-colored directed graphs. The primary objective is to discern refined structural properties of these crystals associated with representations of quantized algebras. The methodology includes studying the subcrystals of a regular An-crystal K and characterizing the intersections of maximal subcrystals based on their color classes. This investigation results in a recursive structure of K and an efficient assembly procedure. Additionally, the relationships between regular Bn-crystals and symmetric An-crystals are established using combinatorial methods. The findings not only enhance the understanding of An-crystals but also elucidate connections among different types of crystals, thereby contributing significantly to the theory of representations of Lie algebras and their quantized forms.
@article{c87d8f1c-1715-47e3-a814-92d5e08c35e6,
title={On the combinatorial structure of crysta},
author={Vladimir I. Danilov and Alexander V. Karzanov},
year={2026},
language={en}
}TY - JOUR TI - On the combinatorial structure of crysta AU - Vladimir I. Danilov AU - Alexander V. Karzanov PY - 2026 LA - en ER -
This paper addresses the challenge of assessing the feasibility of wind power plant projects at sites with insufficient or no local historic wind data
Important advances in electrochemical engineering technology over the last three decades have fostered the development of a lternative methods to alle
Increasing volumes of waste printed circuit boards from obsolete electronic equipment posed escalating environmental risks and resource losses due to