{"title":"一个简单的二重李代数的例子","authors":"V. Gubarev","doi":"10.33048/semi.2021.18.062","DOIUrl":null,"url":null,"abstract":"We extend the correspondence between double Lie algebras and skew-symmetric Rota—Baxter operators of weight 0 on the matrix algebra for the infinitedimensional case. We give the first example of simple double Lie algebra.","PeriodicalId":45858,"journal":{"name":"Siberian Electronic Mathematical Reports-Sibirskie Elektronnye Matematicheskie Izvestiya","volume":" ","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2021-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"An example of a simple double Lie algebra\",\"authors\":\"V. Gubarev\",\"doi\":\"10.33048/semi.2021.18.062\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We extend the correspondence between double Lie algebras and skew-symmetric Rota—Baxter operators of weight 0 on the matrix algebra for the infinitedimensional case. We give the first example of simple double Lie algebra.\",\"PeriodicalId\":45858,\"journal\":{\"name\":\"Siberian Electronic Mathematical Reports-Sibirskie Elektronnye Matematicheskie Izvestiya\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2021-04-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Siberian Electronic Mathematical Reports-Sibirskie Elektronnye Matematicheskie Izvestiya\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.33048/semi.2021.18.062\",\"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":"Siberian Electronic Mathematical Reports-Sibirskie Elektronnye Matematicheskie Izvestiya","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.33048/semi.2021.18.062","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
We extend the correspondence between double Lie algebras and skew-symmetric Rota—Baxter operators of weight 0 on the matrix algebra for the infinitedimensional case. We give the first example of simple double Lie algebra.
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