{"title":"正辛杨岩系的旱田型表现","authors":"A. I. Molev","doi":"10.1007/s10468-023-10227-9","DOIUrl":null,"url":null,"abstract":"<div><p>We use the Gauss decomposition of the generator matrix in the <i>R</i>-matrix presentation of the Yangian for the orthosymplectic Lie superalgebra <span>\\(\\mathfrak {osp}_{N|2m}\\)</span> to produce its Drinfeld-type presentation. The results rely on a super-version of the embedding theorem which allows one to identify a subalgebra in the <i>R</i>-matrix presentation which is isomorphic to the Yangian associated with <span>\\(\\mathfrak {osp}_{N|2m-2}\\)</span>.</p></div>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10468-023-10227-9.pdf","citationCount":"0","resultStr":"{\"title\":\"A Drinfeld-Type Presentation of the Orthosymplectic Yangians\",\"authors\":\"A. I. Molev\",\"doi\":\"10.1007/s10468-023-10227-9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We use the Gauss decomposition of the generator matrix in the <i>R</i>-matrix presentation of the Yangian for the orthosymplectic Lie superalgebra <span>\\\\(\\\\mathfrak {osp}_{N|2m}\\\\)</span> to produce its Drinfeld-type presentation. The results rely on a super-version of the embedding theorem which allows one to identify a subalgebra in the <i>R</i>-matrix presentation which is isomorphic to the Yangian associated with <span>\\\\(\\\\mathfrak {osp}_{N|2m-2}\\\\)</span>.</p></div>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2023-08-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://link.springer.com/content/pdf/10.1007/s10468-023-10227-9.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10468-023-10227-9\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s10468-023-10227-9","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
我们利用正交李超代数 \(\mathfrak {osp}_{N|2m}\) 的扬格的 R 矩阵呈现中的生成矩阵的高斯分解来产生它的德林费尔德型呈现。这些结果依赖于嵌入定理的一个超级版本，它允许我们在 R 矩阵呈现中找出一个与 \(\mathfrak {osp}_{N|2m}\) 相关的杨式同构的子代数。
A Drinfeld-Type Presentation of the Orthosymplectic Yangians
We use the Gauss decomposition of the generator matrix in the R-matrix presentation of the Yangian for the orthosymplectic Lie superalgebra \(\mathfrak {osp}_{N|2m}\) to produce its Drinfeld-type presentation. The results rely on a super-version of the embedding theorem which allows one to identify a subalgebra in the R-matrix presentation which is isomorphic to the Yangian associated with \(\mathfrak {osp}_{N|2m-2}\).
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