{"title":"Affine super Yangians and deformed double current superalgebras","authors":"Nicolas Guay, Peggy Jankovic, Mamoru Ueda","doi":"10.1016/j.jalgebra.2024.11.032","DOIUrl":null,"url":null,"abstract":"<div><div>We extend to the super Yangian of the special linear Lie superalgebra <span><math><msub><mrow><mi>sl</mi></mrow><mrow><mi>m</mi><mo>|</mo><mi>n</mi></mrow></msub></math></span> and its affine version certain results related to Schur-Weyl duality. We do the same for the deformed double current superalgebra of <span><math><msub><mrow><mi>sl</mi></mrow><mrow><mi>m</mi><mo>|</mo><mi>n</mi></mrow></msub></math></span>, which is introduced here for the first time.</div></div>","PeriodicalId":14888,"journal":{"name":"Journal of Algebra","volume":"667 ","pages":"Pages 598-652"},"PeriodicalIF":0.8000,"publicationDate":"2025-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Algebra","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0021869324006823","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We extend to the super Yangian of the special linear Lie superalgebra and its affine version certain results related to Schur-Weyl duality. We do the same for the deformed double current superalgebra of , which is introduced here for the first time.
期刊介绍：
The Journal of Algebra is a leading international journal and publishes papers that demonstrate high quality research results in algebra and related computational aspects. Only the very best and most interesting papers are to be considered for publication in the journal. With this in mind, it is important that the contribution offer a substantial result that will have a lasting effect upon the field. The journal also seeks work that presents innovative techniques that offer promising results for future research.
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