{"title":"Lie类型的有限群的抛物型收缩的上字符","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":" ","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2022-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"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\":\" \",\"pages\":\"\"},\"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}","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}
Supercharacters for parabolic contractions of finite groups of 𝐴,𝐵,𝐶,𝐷 Lie types
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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