{"title":"量子群SμU(2)和q-Hahn多项式的Clebsch-Gordan系数","authors":"H.T. Koelink , T.H. Koornwinder","doi":"10.1016/1385-7258(89)90007-3","DOIUrl":null,"url":null,"abstract":"<div><p>The tensor product of two unitary irreducible representations of the quantum group <em>S</em><sub><em>μ</em></sub><em>U</em>(2) is decomposed in a direct sum of unitary irreducible representations with explicit realizations. The Clebsch-Gordan coefficients yield the orthogonality relations for <em>q</em>-Hahn and dual <em>q</em>-Hahn polynomials.</p></div>","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"92 4","pages":"Pages 443-456"},"PeriodicalIF":0.0000,"publicationDate":"1989-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/1385-7258(89)90007-3","citationCount":"38","resultStr":"{\"title\":\"The Clebsch-Gordan coefficients for the quantum group SμU(2) and q-Hahn polynomials\",\"authors\":\"H.T. Koelink , T.H. Koornwinder\",\"doi\":\"10.1016/1385-7258(89)90007-3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The tensor product of two unitary irreducible representations of the quantum group <em>S</em><sub><em>μ</em></sub><em>U</em>(2) is decomposed in a direct sum of unitary irreducible representations with explicit realizations. The Clebsch-Gordan coefficients yield the orthogonality relations for <em>q</em>-Hahn and dual <em>q</em>-Hahn polynomials.</p></div>\",\"PeriodicalId\":100664,\"journal\":{\"name\":\"Indagationes Mathematicae (Proceedings)\",\"volume\":\"92 4\",\"pages\":\"Pages 443-456\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1989-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/1385-7258(89)90007-3\",\"citationCount\":\"38\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Indagationes Mathematicae (Proceedings)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/1385725889900073\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Indagationes Mathematicae (Proceedings)","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/1385725889900073","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The Clebsch-Gordan coefficients for the quantum group SμU(2) and q-Hahn polynomials
The tensor product of two unitary irreducible representations of the quantum group SμU(2) is decomposed in a direct sum of unitary irreducible representations with explicit realizations. The Clebsch-Gordan coefficients yield the orthogonality relations for q-Hahn and dual q-Hahn polynomials.
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