{"title":"论复杂反射群的赫克和渐近范畴","authors":"Abel Lacabanne, Daniel Tubbenhauer, Pedro Vaz","doi":"arxiv-2409.01005","DOIUrl":null,"url":null,"abstract":"Generalizing the dihedral picture for G(M,M,2), we construct Hecke algebras\n(and categories) and asymptotic counterparts. We think of these as associated\nwith the complex reflection group G(M,M,N).","PeriodicalId":501038,"journal":{"name":"arXiv - MATH - Representation Theory","volume":"59 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Hecke and asymptotic categories for complex reflection groups\",\"authors\":\"Abel Lacabanne, Daniel Tubbenhauer, Pedro Vaz\",\"doi\":\"arxiv-2409.01005\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Generalizing the dihedral picture for G(M,M,2), we construct Hecke algebras\\n(and categories) and asymptotic counterparts. We think of these as associated\\nwith the complex reflection group G(M,M,N).\",\"PeriodicalId\":501038,\"journal\":{\"name\":\"arXiv - MATH - Representation Theory\",\"volume\":\"59 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Representation Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.01005\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Representation Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.01005","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On Hecke and asymptotic categories for complex reflection groups
Generalizing the dihedral picture for G(M,M,2), we construct Hecke algebras
(and categories) and asymptotic counterparts. We think of these as associated
with the complex reflection group G(M,M,N).