{"title":"c=12 的模块化维拉索罗顶点算子代数","authors":"Chongying Dong , Ching Hung Lam , Li Ren","doi":"10.1016/j.jpaa.2024.107736","DOIUrl":null,"url":null,"abstract":"<div><p>Using a <span><math><mi>Z</mi><mo>[</mo><mfrac><mrow><mn>1</mn></mrow><mrow><mn>2</mn></mrow></mfrac><mo>]</mo></math></span>-form of Virasoro vertex operator algebra <span><math><mi>L</mi><mo>(</mo><mfrac><mrow><mn>1</mn></mrow><mrow><mn>2</mn></mrow></mfrac><mo>,</mo><mn>0</mn><mo>)</mo></math></span> with central charge <span><math><mfrac><mrow><mn>1</mn></mrow><mrow><mn>2</mn></mrow></mfrac></math></span>, we obtain a modular vertex operator algebra over any field <span><math><mi>F</mi></math></span> of finite characteristic different from 2. We determine the generators and classify the irreducible modules for this vertex operator algebra.</p></div>","PeriodicalId":54770,"journal":{"name":"Journal of Pure and Applied Algebra","volume":"228 12","pages":"Article 107736"},"PeriodicalIF":0.7000,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Modular Virasoro vertex operator algebras with c=12\",\"authors\":\"Chongying Dong , Ching Hung Lam , Li Ren\",\"doi\":\"10.1016/j.jpaa.2024.107736\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Using a <span><math><mi>Z</mi><mo>[</mo><mfrac><mrow><mn>1</mn></mrow><mrow><mn>2</mn></mrow></mfrac><mo>]</mo></math></span>-form of Virasoro vertex operator algebra <span><math><mi>L</mi><mo>(</mo><mfrac><mrow><mn>1</mn></mrow><mrow><mn>2</mn></mrow></mfrac><mo>,</mo><mn>0</mn><mo>)</mo></math></span> with central charge <span><math><mfrac><mrow><mn>1</mn></mrow><mrow><mn>2</mn></mrow></mfrac></math></span>, we obtain a modular vertex operator algebra over any field <span><math><mi>F</mi></math></span> of finite characteristic different from 2. We determine the generators and classify the irreducible modules for this vertex operator algebra.</p></div>\",\"PeriodicalId\":54770,\"journal\":{\"name\":\"Journal of Pure and Applied Algebra\",\"volume\":\"228 12\",\"pages\":\"Article 107736\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2024-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Pure and Applied Algebra\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0022404924001336\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"2024/5/28 0:00:00\",\"PubModel\":\"Epub\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Pure and Applied Algebra","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022404924001336","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2024/5/28 0:00:00","PubModel":"Epub","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Modular Virasoro vertex operator algebras with c=12
Using a -form of Virasoro vertex operator algebra with central charge , we obtain a modular vertex operator algebra over any field of finite characteristic different from 2. We determine the generators and classify the irreducible modules for this vertex operator algebra.
期刊介绍：
The Journal of Pure and Applied Algebra concentrates on that part of algebra likely to be of general mathematical interest: algebraic results with immediate applications, and the development of algebraic theories of sufficiently general relevance to allow for future applications.
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