{"title":"任意\\(0^{M}1^{N}\\) -序列的模超Yangian \\(Y_{M|N}\\)的抛物表示","authors":"Hongmei Hu","doi":"10.1007/s11005-025-01980-7","DOIUrl":null,"url":null,"abstract":"<div><p>Let <span>\\(\\mu \\)</span> be an arbitrary composition of <span>\\(M+N\\)</span> and let <span>\\(\\mathfrak {s}\\)</span> be an arbitrary <span>\\(0^{M}1^{N}\\)</span>-sequence. The present paper is devoted to extending parabolic presentations, depending on <span>\\(\\mu \\)</span> and <span>\\(\\mathfrak {s}\\)</span>, of the super Yangian <span>\\(Y_{M|N}\\)</span> associated with the general linear Lie superalgebra <span>\\({\\mathfrak g\\mathfrak l}_{M|N}\\)</span>, to a field of positive characteristic.\n</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 5","pages":""},"PeriodicalIF":1.4000,"publicationDate":"2025-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Parabolic presentations of the modular super Yangian \\\\(Y_{M|N}\\\\) for arbitrary \\\\(0^{M}1^{N}\\\\)-sequences\",\"authors\":\"Hongmei Hu\",\"doi\":\"10.1007/s11005-025-01980-7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Let <span>\\\\(\\\\mu \\\\)</span> be an arbitrary composition of <span>\\\\(M+N\\\\)</span> and let <span>\\\\(\\\\mathfrak {s}\\\\)</span> be an arbitrary <span>\\\\(0^{M}1^{N}\\\\)</span>-sequence. The present paper is devoted to extending parabolic presentations, depending on <span>\\\\(\\\\mu \\\\)</span> and <span>\\\\(\\\\mathfrak {s}\\\\)</span>, of the super Yangian <span>\\\\(Y_{M|N}\\\\)</span> associated with the general linear Lie superalgebra <span>\\\\({\\\\mathfrak g\\\\mathfrak l}_{M|N}\\\\)</span>, to a field of positive characteristic.\\n</p></div>\",\"PeriodicalId\":685,\"journal\":{\"name\":\"Letters in Mathematical Physics\",\"volume\":\"115 5\",\"pages\":\"\"},\"PeriodicalIF\":1.4000,\"publicationDate\":\"2025-09-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Letters in Mathematical Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s11005-025-01980-7\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, MATHEMATICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Letters in Mathematical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s11005-025-01980-7","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
Parabolic presentations of the modular super Yangian \(Y_{M|N}\) for arbitrary \(0^{M}1^{N}\)-sequences
Let \(\mu \) be an arbitrary composition of \(M+N\) and let \(\mathfrak {s}\) be an arbitrary \(0^{M}1^{N}\)-sequence. The present paper is devoted to extending parabolic presentations, depending on \(\mu \) and \(\mathfrak {s}\), of the super Yangian \(Y_{M|N}\) associated with the general linear Lie superalgebra \({\mathfrak g\mathfrak l}_{M|N}\), to a field of positive characteristic.
期刊介绍:
The aim of Letters in Mathematical Physics is to attract the community''s attention on important and original developments in the area of mathematical physics and contemporary theoretical physics. The journal publishes letters and longer research articles, occasionally also articles containing topical reviews. We are committed to both fast publication and careful refereeing. In addition, the journal offers important contributions to modern mathematics in fields which have a potential physical application, and important developments in theoretical physics which have potential mathematical impact.