{"title":"A type C study of braverman-gaitsgory-ginzburg'sconstruction of sln representations","authors":"Zhijie Dong, Haitao Ma","doi":"10.1142/s0219498825501610","DOIUrl":null,"url":null,"abstract":". In [FMX19], it is proved that the convolution algebra of top Borel-Moore homology on Steinberg variety of type B/C realizes U ( sl θn ), where sl θn is the fixed point subalgebra of involution on sl n . So top Borel-Moore homology of the partial Springer’s fibers gives the representations of U ( sl θn ). In this paper, we study these representations using the Schur-Weyl duality and Springer theory.","PeriodicalId":54888,"journal":{"name":"Journal of Algebra and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2023-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Algebra and Its Applications","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1142/s0219498825501610","RegionNum":3,"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
. In [FMX19], it is proved that the convolution algebra of top Borel-Moore homology on Steinberg variety of type B/C realizes U ( sl θn ), where sl θn is the fixed point subalgebra of involution on sl n . So top Borel-Moore homology of the partial Springer’s fibers gives the representations of U ( sl θn ). In this paper, we study these representations using the Schur-Weyl duality and Springer theory.
期刊介绍:
The Journal of Algebra and Its Applications will publish papers both on theoretical and on applied aspects of Algebra. There is special interest in papers that point out innovative links between areas of Algebra and fields of application. As the field of Algebra continues to experience tremendous growth and diversification, we intend to provide the mathematical community with a central source for information on both the theoretical and the applied aspects of the discipline. While the journal will be primarily devoted to the publication of original research, extraordinary expository articles that encourage communication between algebraists and experts on areas of application as well as those presenting the state of the art on a given algebraic sub-discipline will be considered.