{"title":"$$\\imath $$ 量子群 $${textbf{U}}^{\\jmath }$$ 代表的有限杨墙模型","authors":"Shaolong Han","doi":"10.1007/s10801-023-01292-w","DOIUrl":null,"url":null,"abstract":"<p>We construct a finite Young wall model for a certain irreducible module over <span>\\(\\imath \\)</span>quantum group <span>\\({\\textbf{U}}^{\\jmath }\\)</span>. Moreover, we show that this irreducible module is a highest weight module and is determined by a crystal structure on the set of finite Young walls.</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Finite Young wall model for representations of $$\\\\imath $$ quantum group $${\\\\textbf{U}}^{\\\\jmath }$$\",\"authors\":\"Shaolong Han\",\"doi\":\"10.1007/s10801-023-01292-w\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We construct a finite Young wall model for a certain irreducible module over <span>\\\\(\\\\imath \\\\)</span>quantum group <span>\\\\({\\\\textbf{U}}^{\\\\jmath }\\\\)</span>. Moreover, we show that this irreducible module is a highest weight module and is determined by a crystal structure on the set of finite Young walls.</p>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-02-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s10801-023-01292-w\",\"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://doi.org/10.1007/s10801-023-01292-w","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Finite Young wall model for representations of $$\imath $$ quantum group $${\textbf{U}}^{\jmath }$$
We construct a finite Young wall model for a certain irreducible module over \(\imath \)quantum group \({\textbf{U}}^{\jmath }\). Moreover, we show that this irreducible module is a highest weight module and is determined by a crystal structure on the set of finite Young walls.