{"title":"Diagram Automorphism Fixed Lie Algebras and Diagram Automorphism Fixed Quiver Varieties","authors":"Zhijie Dong, Haitao Ma","doi":"10.1134/S001626632302003X","DOIUrl":null,"url":null,"abstract":"<p> We define certain subvarieties, called <span>\\(\\theta\\)</span>-Hecke correspondences, in Cartesian products of diagram automorphism fixed quiver varieties. These give us generators of diagram automorphism fixed Lie algebras. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":"57 2","pages":"109 - 116"},"PeriodicalIF":0.6000,"publicationDate":"2023-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Functional Analysis and Its Applications","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1134/S001626632302003X","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: 0
Abstract
We define certain subvarieties, called \(\theta\)-Hecke correspondences, in Cartesian products of diagram automorphism fixed quiver varieties. These give us generators of diagram automorphism fixed Lie algebras.
Abstract We define certain subvarieties, called \(\theta\)-Hecke correspondences, in Cartesian product of diagram automorphism fixed quiver varieties.这些子域给我们提供了图自动态固定李代数的生成器。
期刊介绍：
Functional Analysis and Its Applications publishes current problems of functional analysis, including representation theory, theory of abstract and functional spaces, theory of operators, spectral theory, theory of operator equations, and the theory of normed rings. The journal also covers the most important applications of functional analysis in mathematics, mechanics, and theoretical physics.
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