{"title":"循环尖点融合范畴的图解法","authors":"Agustina Czenky","doi":"10.1016/j.jpaa.2024.107752","DOIUrl":null,"url":null,"abstract":"<div><p>We give a parametrization of cyclic pointed categories associated to the cyclic group of order <em>n</em> in terms of <em>n</em>-th roots of unity. We also provide a diagramatic description of these categories by generators and relations, and use it to characterize their 2-group of automorphisms.</p></div>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Diagramatics for cyclic pointed fusion categories\",\"authors\":\"Agustina Czenky\",\"doi\":\"10.1016/j.jpaa.2024.107752\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We give a parametrization of cyclic pointed categories associated to the cyclic group of order <em>n</em> in terms of <em>n</em>-th roots of unity. We also provide a diagramatic description of these categories by generators and relations, and use it to characterize their 2-group of automorphisms.</p></div>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-06-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S002240492400149X\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S002240492400149X","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
我们用 n 次统一根给出了与 n 阶循环群相关的循环尖类的参数。我们还通过生成器和关系提供了这些范畴的图解描述，并用它来描述它们的 2 群自形性。
We give a parametrization of cyclic pointed categories associated to the cyclic group of order n in terms of n-th roots of unity. We also provide a diagramatic description of these categories by generators and relations, and use it to characterize their 2-group of automorphisms.
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