{"title":"最高权重模块和小单能表示的转移","authors":"Hai An He, Jing Song Huang, Kayue Daniel Wong","doi":"10.1007/s10114-024-3237-4","DOIUrl":null,"url":null,"abstract":"<div><p>We study the transfer between small special unipotent representations for all equal rank real forms of type <i>E</i><sub>6</sub> and <i>E</i><sub>7</sub>. As a consequence, one can verify these modules are unitarity using the results of Wallach and Zhu. Moreover, the <i>K</i>-spectra of these modules can be obtained explicitly.</p></div>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Transfer of Highest Weight Modules and Small Unipotent Representations\",\"authors\":\"Hai An He, Jing Song Huang, Kayue Daniel Wong\",\"doi\":\"10.1007/s10114-024-3237-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We study the transfer between small special unipotent representations for all equal rank real forms of type <i>E</i><sub>6</sub> and <i>E</i><sub>7</sub>. As a consequence, one can verify these modules are unitarity using the results of Wallach and Zhu. Moreover, the <i>K</i>-spectra of these modules can be obtained explicitly.</p></div>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-03-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10114-024-3237-4\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s10114-024-3237-4","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Transfer of Highest Weight Modules and Small Unipotent Representations
We study the transfer between small special unipotent representations for all equal rank real forms of type E6 and E7. As a consequence, one can verify these modules are unitarity using the results of Wallach and Zhu. Moreover, the K-spectra of these modules can be obtained explicitly.
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