{"title":"无穷维李超代数的推导","authors":"D. I. Bezushchak, O. Bezushchak","doi":"10.17721/1812-5409.2023/1.2","DOIUrl":null,"url":null,"abstract":"We study infinite-dimensional analogs of classical Lie superalgebras over an algebraically closed field F of zero characteristic. Let I be an infinite set. For an algebra M_∞ (I) of infinite I × I matrices over a ground field F having finitely many nonzero entries, we consider the related Lie superalgebra gl_∞ (I1, I2) and its commutator sl_∞ (I1, I2) for a disjoint union of nonempty subsets I1 and I2 of the set I; and we describe derivations of the Lie superalgebra sl_∞ (I1, I2).","PeriodicalId":33822,"journal":{"name":"Visnik Kiivs''kij nacional''nij universitet imeni Tarasa Sevcenka Istoria","volume":"5 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Derivations of infinite-dimensional Lie superalgebras\",\"authors\":\"D. I. Bezushchak, O. Bezushchak\",\"doi\":\"10.17721/1812-5409.2023/1.2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study infinite-dimensional analogs of classical Lie superalgebras over an algebraically closed field F of zero characteristic. Let I be an infinite set. For an algebra M_∞ (I) of infinite I × I matrices over a ground field F having finitely many nonzero entries, we consider the related Lie superalgebra gl_∞ (I1, I2) and its commutator sl_∞ (I1, I2) for a disjoint union of nonempty subsets I1 and I2 of the set I; and we describe derivations of the Lie superalgebra sl_∞ (I1, I2).\",\"PeriodicalId\":33822,\"journal\":{\"name\":\"Visnik Kiivs''kij nacional''nij universitet imeni Tarasa Sevcenka Istoria\",\"volume\":\"5 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Visnik Kiivs''kij nacional''nij universitet imeni Tarasa Sevcenka Istoria\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.17721/1812-5409.2023/1.2\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Visnik Kiivs''kij nacional''nij universitet imeni Tarasa Sevcenka Istoria","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.17721/1812-5409.2023/1.2","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Derivations of infinite-dimensional Lie superalgebras
We study infinite-dimensional analogs of classical Lie superalgebras over an algebraically closed field F of zero characteristic. Let I be an infinite set. For an algebra M_∞ (I) of infinite I × I matrices over a ground field F having finitely many nonzero entries, we consider the related Lie superalgebra gl_∞ (I1, I2) and its commutator sl_∞ (I1, I2) for a disjoint union of nonempty subsets I1 and I2 of the set I; and we describe derivations of the Lie superalgebra sl_∞ (I1, I2).
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
