{"title":"三维Griess代数与宫本对合","authors":"C. Lam, H. Yamauchi","doi":"10.21915/bimas.2019201","DOIUrl":null,"url":null,"abstract":"We consider a series of VOAs generated by 3-dimensional Griess algebras. We will show that these VOAs can be characterized by their 3-dimensional Griess algebras and their structures are uniquely determined. As an application, we will determine the groups generated by the Miyamoto involutions associated to Virasoro vectors of our VOAs.","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":"80 1","pages":""},"PeriodicalIF":0.2000,"publicationDate":"2016-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"3-dimensional Griess Algebras and Miyamoto Involutions\",\"authors\":\"C. Lam, H. Yamauchi\",\"doi\":\"10.21915/bimas.2019201\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider a series of VOAs generated by 3-dimensional Griess algebras. We will show that these VOAs can be characterized by their 3-dimensional Griess algebras and their structures are uniquely determined. As an application, we will determine the groups generated by the Miyamoto involutions associated to Virasoro vectors of our VOAs.\",\"PeriodicalId\":43960,\"journal\":{\"name\":\"Bulletin of the Institute of Mathematics Academia Sinica New Series\",\"volume\":\"80 1\",\"pages\":\"\"},\"PeriodicalIF\":0.2000,\"publicationDate\":\"2016-04-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bulletin of the Institute of Mathematics Academia Sinica New Series\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.21915/bimas.2019201\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of the Institute of Mathematics Academia Sinica New Series","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.21915/bimas.2019201","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
3-dimensional Griess Algebras and Miyamoto Involutions
We consider a series of VOAs generated by 3-dimensional Griess algebras. We will show that these VOAs can be characterized by their 3-dimensional Griess algebras and their structures are uniquely determined. As an application, we will determine the groups generated by the Miyamoto involutions associated to Virasoro vectors of our VOAs.