B (λ)和B(∞)的一种新的青年墙实现

Pub Date : 2023-08-29 DOI:10.1142/s100538672300041x

Zhaobing Fan, Shaolong Han, Seok-Jin Kang, Young Rock Kim

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引用次数: 0

摘要

利用杨壁的新组合学，我们给出了类型为[公式:见文]、[公式:见文]、[公式:见文]、[公式:见文]、[公式:见文]、[公式:见文]和[公式:见文]的量子仿射代数的任意能级最高重晶体[公式:见文]的新结构。我们证明了由还原杨氏壁组成的晶体与晶体是同构的[公式:见文]。此外，我们提供了一个新的实现晶体[公式:见文]在减少虚拟杨墙和减少扩展杨墙。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A New Young Wall Realization of B ( λ ) and B ( ∞ )

Using new combinatorics of Young walls, we give a new construction of the arbitrary level highest weight crystal [Formula: see text] for the quantum affine algebras of types [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text]. We show that the crystal consisting of reduced Young walls is isomorphic to the crystal [Formula: see text]. Moreover, we provide a new realization of the crystal [Formula: see text] in terms of reduced virtual Young walls and reduced extended Young walls.

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