{"title":"Almost Commutative Terwilliger Algebras of Group Association Schemes II: Primitive Idempotents","authors":"Nicholas L. Bastian","doi":"arxiv-2409.09482","DOIUrl":null,"url":null,"abstract":"This paper is a continuation of Almost Commutative Terwilliger Algebras of\nGroup Association Schemes I: Classification [1]. In that paper, we found all\ngroups G for which the Terwilliger algebra of the group association scheme,\ndenoted T (G), is almost commutative. We also found the primitive idempotents\nfor T (G) for three of the four types of such groups. In this paper, we\ndetermine the primitive idempotents for the fourth type.","PeriodicalId":501038,"journal":{"name":"arXiv - MATH - Representation Theory","volume":"16 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Representation Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.09482","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
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.
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。
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
