{"title":"Yang-Baxter basis of Hecke algebra and Casselman's problem (extended abstract)","authors":"Maki Nakasuji, H. Naruse","doi":"10.46298/dmtcs.6370","DOIUrl":null,"url":null,"abstract":"International audience\n \n We generalize the definition of Yang-Baxter basis of type A Hecke algebra introduced by A.Lascoux, B.Leclerc and J.Y.Thibon (Letters in Math. Phys., 40 (1997), 75–90) to all the Lie types and prove their duality. As an application we give a solution to Casselman's problem on Iwahori fixed vectors of principal series representation of p-adic groups.\n","PeriodicalId":55175,"journal":{"name":"Discrete Mathematics and Theoretical Computer Science","volume":null,"pages":null},"PeriodicalIF":0.7000,"publicationDate":"2015-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Discrete Mathematics and Theoretical Computer Science","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.46298/dmtcs.6370","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 5
Abstract
International audience
We generalize the definition of Yang-Baxter basis of type A Hecke algebra introduced by A.Lascoux, B.Leclerc and J.Y.Thibon (Letters in Math. Phys., 40 (1997), 75–90) to all the Lie types and prove their duality. As an application we give a solution to Casselman's problem on Iwahori fixed vectors of principal series representation of p-adic groups.
期刊介绍：
DMTCS is a open access scientic journal that is online since 1998. We are member of the Free Journal Network.
Sections of DMTCS
Analysis of Algorithms
Automata, Logic and Semantics
Combinatorics
Discrete Algorithms
Distributed Computing and Networking
Graph Theory.
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
