群联方案的几乎交换 Terwilliger 算法 II：原始等价物

arXiv - MATH - Representation Theory Pub Date : 2024-09-14 DOI:arxiv-2409.09482

Nicholas L. Bastian

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摘要

本文是群关联模式的几乎交换 Terwilliger Algebras ofGroup Association Schemes I 的继续：分类 [1]。在那篇论文中，我们找到了群关联方案的特威里格代数（表示为 T (G)）几乎是交换的所有群 G。我们还找到了四类群中三类群的 T (G) 的原始empotents。在本文中，我们将确定第四种类型的基元幂等式。

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Almost Commutative Terwilliger Algebras of Group Association Schemes II: Primitive Idempotents

This paper is a continuation of Almost Commutative Terwilliger Algebras of Group Association Schemes I: Classification [1]. In that paper, we found all groups G for which the Terwilliger algebra of the group association scheme, denoted T (G), is almost commutative. We also found the primitive idempotents for T (G) for three of the four types of such groups. In this paper, we determine the primitive idempotents for the fourth type.

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arXiv - MATH - Representation Theory

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