{"title":"自旋(n, 1)的非初等不可约表示","authors":"D. Kovacevic, H. Kraljevic","doi":"10.32817/ams.2.2","DOIUrl":null,"url":null,"abstract":"We study corners and fundamental corners of the irreducible subquotients of reducible elementary representations of the groups G = Spin(n, 1). For even n we obtain results in a way analogous to the results in [8] for the groups SU(n, 1). Especially, we again get a bijection between the nonelementary part Gˆ0 of the unitary dual Gˆ and the unitary dual K. ˆ In the case of odd n we get a bijection between Gˆ0 and a true subset of K.","PeriodicalId":309225,"journal":{"name":"Acta mathematica Spalatensia","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Nonelementary irreducible representations of Spin(n, 1)\",\"authors\":\"D. Kovacevic, H. Kraljevic\",\"doi\":\"10.32817/ams.2.2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study corners and fundamental corners of the irreducible subquotients of reducible elementary representations of the groups G = Spin(n, 1). For even n we obtain results in a way analogous to the results in [8] for the groups SU(n, 1). Especially, we again get a bijection between the nonelementary part Gˆ0 of the unitary dual Gˆ and the unitary dual K. ˆ In the case of odd n we get a bijection between Gˆ0 and a true subset of K.\",\"PeriodicalId\":309225,\"journal\":{\"name\":\"Acta mathematica Spalatensia\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta mathematica Spalatensia\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.32817/ams.2.2\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta mathematica Spalatensia","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.32817/ams.2.2","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Nonelementary irreducible representations of Spin(n, 1)
We study corners and fundamental corners of the irreducible subquotients of reducible elementary representations of the groups G = Spin(n, 1). For even n we obtain results in a way analogous to the results in [8] for the groups SU(n, 1). Especially, we again get a bijection between the nonelementary part Gˆ0 of the unitary dual Gˆ and the unitary dual K. ˆ In the case of odd n we get a bijection between Gˆ0 and a true subset of K.
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