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    NCU Institutional Repository > 理學院 > 數學系 > 期刊論文 >  Item 987654321/109292


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    題名: The classification of Leonard triples of QRacah type
    作者: 黃皜文;Huang, Hau-wen
    貢獻者: 理學院數學系
    關鍵詞: Algebra;Askey–Wilson relations;Exact sciences and technology;Leonard triples;Linear and multilinear algebra, matrix theory;Mathematics;Sciences and techniques of general use
    日期: 2012-03-01
    上傳時間: 2026-04-23 16:24:06 (UTC+8)
    出版者: Elsevier Inc.;Amsterdam: Elsevier Inc
    摘要: 摘要: Let K denote an algebraically closed field. Let V denote a vector space over K with finite positive dimension. By a Leonard triple on V we mean an ordered triple of linear transformations in End(V) such that for each of these transformations there exists a basis of V with respect to which the matrix representing that transformation is diagonal and the matrices representing the other two transformations are irreducible tridiagonal. There is a family of Leonard triples said to have QRacah type. This is the most general type of Leonard triple. We classify the Leonard triples of QRacah type up to isomorphism. We show that any Leonard triple of QRacah type satisfies the Z3-symmetric Askey-Wilson relations.
    出版者: Amsterdam: Elsevier Inc
    出版日期: 2012-03-01
    出處: Linear algebra and its applications, 2012-03, Vol.436 (5), p.1442-1472
    資源來源: Elsevier ScienceDirect Journals Complete
    版權: 2011
    版權: 2015 INIST-CNRS
    識別號: ISSN: 0024-3795
    識別號: DOI: 10.1016/j.laa.2011.08.033
    識別號: CODEN: LAAPAW
    顯示於類別:[數學系] 期刊論文

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