{"title":"The R-matrix of the quantum toroidal algebra","authors":"Andrei Neguţ","doi":"10.1215/21562261-2022-0030","DOIUrl":null,"url":null,"abstract":"We consider the R-matrix of the quantum toroidal algebra of type gl1, both abstractly and in Fock space representations. We provide a survey of a certain point of view on this object which involves the elliptic Hall and shuffle algebras, and we show how to obtain certain explicit formulas.","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Kyoto Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1215/21562261-2022-0030","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 4
Abstract
We consider the R-matrix of the quantum toroidal algebra of type gl1, both abstractly and in Fock space representations. We provide a survey of a certain point of view on this object which involves the elliptic Hall and shuffle algebras, and we show how to obtain certain explicit formulas.
期刊介绍：
The Kyoto Journal of Mathematics publishes original research papers at the forefront of pure mathematics, including surveys that contribute to advances in pure mathematics.
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