{"title":"Supercharacters for parabolic contractions of finite groups of 𝐴,𝐵,𝐶,𝐷 Lie types","authors":"A. Panov","doi":"10.1090/spmj/1738","DOIUrl":null,"url":null,"abstract":"Supercharacter theories are constructed for the finite groups obtained by parabolic contraction from simple groups of \n\n \n \n A\n ,\n B\n ,\n C\n ,\n D\n \n A,B,C,D\n \n\n Lie types. Supercharacters and superclasses are classified in terms of rook placements in root systems.","PeriodicalId":51162,"journal":{"name":"St Petersburg Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.7000,"publicationDate":"2022-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"St Petersburg Mathematical Journal","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1090/spmj/1738","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
Supercharacter theories are constructed for the finite groups obtained by parabolic contraction from simple groups of
A
,
B
,
C
,
D
A,B,C,D
Lie types. Supercharacters and superclasses are classified in terms of rook placements in root systems.
期刊介绍：
This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.
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