{"title":"由σ型伊辛向量生成的OZ型顶点算子代数的分类","authors":"Cuipo Jiang , Ching Hung Lam , Hiroshi Yamauchi","doi":"10.1016/j.aim.2025.110146","DOIUrl":null,"url":null,"abstract":"<div><div>We classify vertex operator algebras (VOAs) of OZ-type generated by Ising vectors of <em>σ</em>-type. As a consequence of the classification, we also prove that such VOAs are simple, rational, <span><math><msub><mrow><mi>C</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span>-cofinite and unitary, that is, they have compact real forms generated by Ising vectors of <em>σ</em>-type over the real numbers.</div></div>","PeriodicalId":50860,"journal":{"name":"Advances in Mathematics","volume":"465 ","pages":"Article 110146"},"PeriodicalIF":1.5000,"publicationDate":"2025-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The classification of vertex operator algebras of OZ-type generated by Ising vectors of σ-type\",\"authors\":\"Cuipo Jiang , Ching Hung Lam , Hiroshi Yamauchi\",\"doi\":\"10.1016/j.aim.2025.110146\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>We classify vertex operator algebras (VOAs) of OZ-type generated by Ising vectors of <em>σ</em>-type. As a consequence of the classification, we also prove that such VOAs are simple, rational, <span><math><msub><mrow><mi>C</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span>-cofinite and unitary, that is, they have compact real forms generated by Ising vectors of <em>σ</em>-type over the real numbers.</div></div>\",\"PeriodicalId\":50860,\"journal\":{\"name\":\"Advances in Mathematics\",\"volume\":\"465 \",\"pages\":\"Article 110146\"},\"PeriodicalIF\":1.5000,\"publicationDate\":\"2025-02-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Advances in Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0001870825000441\",\"RegionNum\":1,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Mathematics","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0001870825000441","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
The classification of vertex operator algebras of OZ-type generated by Ising vectors of σ-type
We classify vertex operator algebras (VOAs) of OZ-type generated by Ising vectors of σ-type. As a consequence of the classification, we also prove that such VOAs are simple, rational, -cofinite and unitary, that is, they have compact real forms generated by Ising vectors of σ-type over the real numbers.
期刊介绍：
Emphasizing contributions that represent significant advances in all areas of pure mathematics, Advances in Mathematics provides research mathematicians with an effective medium for communicating important recent developments in their areas of specialization to colleagues and to scientists in related disciplines.
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