{"title":"Extensions of Deformed W-algebras via qq-characters","authors":"B. Feigin, M. Jimbo, E. Mukhin","doi":"10.1007/s00031-024-09869-w","DOIUrl":null,"url":null,"abstract":"<p>We use combinatorics of <i>qq</i>-characters to study extensions of deformed <i>W</i>-algebras. We describe additional currents and part of the relations in the cases of <span>\\(\\mathfrak {gl}(n|m)\\)</span> and <span>\\(\\mathfrak {osp}(2|2n)\\)</span>.</p>","PeriodicalId":49423,"journal":{"name":"Transformation Groups","volume":"52 1","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2024-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Transformation Groups","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s00031-024-09869-w","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We use combinatorics of qq-characters to study extensions of deformed W-algebras. We describe additional currents and part of the relations in the cases of \(\mathfrak {gl}(n|m)\) and \(\mathfrak {osp}(2|2n)\).
期刊介绍:
Transformation Groups will only accept research articles containing new results, complete Proofs, and an abstract. Topics include: Lie groups and Lie algebras; Lie transformation groups and holomorphic transformation groups; Algebraic groups; Invariant theory; Geometry and topology of homogeneous spaces; Discrete subgroups of Lie groups; Quantum groups and enveloping algebras; Group aspects of conformal field theory; Kac-Moody groups and algebras; Lie supergroups and superalgebras.