{"title":"Dynamical Bethe algebra and functions on pairs of quasi-polynomials","authors":"A. Varchenko, A. Slinkin, D. Thompson","doi":"10.1070/RM10010","DOIUrl":null,"url":null,"abstract":"We consider the space of functions on the Cartan subalgebra of with values in the zero weight subspace of a tensor product of irreducible finite-dimensional -modules. We consider the algebra of commuting differential operators on , constructed by Rubtsov, Silantyev, and Talalaev in 2009. We describe the relations between the action of on and spaces of pairs of quasi- polynomials. Bibliography: 25 titles.","PeriodicalId":49582,"journal":{"name":"Russian Mathematical Surveys","volume":"76 1","pages":"653 - 684"},"PeriodicalIF":1.4000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Russian Mathematical Surveys","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1070/RM10010","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We consider the space of functions on the Cartan subalgebra of with values in the zero weight subspace of a tensor product of irreducible finite-dimensional -modules. We consider the algebra of commuting differential operators on , constructed by Rubtsov, Silantyev, and Talalaev in 2009. We describe the relations between the action of on and spaces of pairs of quasi- polynomials. Bibliography: 25 titles.
期刊介绍：
Russian Mathematical Surveys is a high-prestige journal covering a wide area of mathematics. The Russian original is rigorously refereed in Russia and the translations are carefully scrutinised and edited by the London Mathematical Society. The survey articles on current trends in mathematics are generally written by leading experts in the field at the request of the Editorial Board.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
