Alexander Bertoloni Meli, Teruhisa Koshikawa, Jonathan Leake
{"title":"区分单能轨道的不等式","authors":"Alexander Bertoloni Meli, Teruhisa Koshikawa, Jonathan Leake","doi":"arxiv-2409.06006","DOIUrl":null,"url":null,"abstract":"In this paper we prove a new characterization of the distinguished unipotent\norbits of a connected reductive group over an algebraically closed field of\ncharacteristic 0. For classical groups we prove the characterization by a\ncombinatorial computation, and for exceptional groups we check it with a\ncomputer. This characterization is needed in the theory of cuspidal sheaves on\nthe stack of L-parameters in forthcoming work of the first two named authors.","PeriodicalId":501038,"journal":{"name":"arXiv - MATH - Representation Theory","volume":"73 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Inequalities characterizing distinguished unipotent orbits\",\"authors\":\"Alexander Bertoloni Meli, Teruhisa Koshikawa, Jonathan Leake\",\"doi\":\"arxiv-2409.06006\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we prove a new characterization of the distinguished unipotent\\norbits of a connected reductive group over an algebraically closed field of\\ncharacteristic 0. For classical groups we prove the characterization by a\\ncombinatorial computation, and for exceptional groups we check it with a\\ncomputer. This characterization is needed in the theory of cuspidal sheaves on\\nthe stack of L-parameters in forthcoming work of the first two named authors.\",\"PeriodicalId\":501038,\"journal\":{\"name\":\"arXiv - MATH - Representation Theory\",\"volume\":\"73 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-09\",\"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-2409.06006\",\"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-2409.06006","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper we prove a new characterization of the distinguished unipotent
orbits of a connected reductive group over an algebraically closed field of
characteristic 0. For classical groups we prove the characterization by a
combinatorial computation, and for exceptional groups we check it with a
computer. This characterization is needed in the theory of cuspidal sheaves on
the stack of L-parameters in forthcoming work of the first two named authors.