两个 q$ 变形的故事：连接对偶极空间和加权超立方体

arXiv - MATH - Mathematical Physics Pub Date : 2024-09-17 DOI:arxiv-2409.11243

Pierre-Antoine Bernard, Étienne Poliquin, Luc Vinet

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引用次数: 0

摘要

引入了超立方图的两个 $q$ 类似图，并证明它们通过图商而相关。本文详细阐述了子空间网格图、$U_q(\mathfrak{su}(2))$ 的扭曲原始元素以及对偶 $q$-Krawtchoukpolynomials 的作用。本文献给汤姆-科恩温德 (Tom Koornwinder)。

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 tale of two $q$-deformations : connecting dual polar spaces and weighted hypercubes

Two $q$-analogs of the hypercube graph are introduced and shown to be related through a graph quotient. The roles of the subspace lattice graph, of a twisted primitive elements of $U_q(\mathfrak{su}(2))$ and of the dual $q$-Krawtchouk polynomials are elaborated upon. This paper is dedicated to Tom Koornwinder.

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arXiv - MATH - Mathematical Physics

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