The classification of Leonard triples of QRacah type

Please use this identifier to cite or link to this item: https://ir.lib.ncu.edu.tw/handle/987654321/109292

Title:	The classification of Leonard triples of QRacah type
Authors:	黃皜文;Huang, Hau-wen
Contributors:	理學院數學系
Keywords:	Algebra;Askey–Wilson relations;Exact sciences and technology;Leonard triples;Linear and multilinear algebra, matrix theory;Mathematics;Sciences and techniques of general use
Date:	2012-03-01
Issue Date:	2026-04-23 16:24:06 (UTC+8)
Publisher:	Elsevier Inc.;Amsterdam: Elsevier Inc
Abstract:	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
Appears in Collections:	[Department of Mathematics] journal & Dissertation

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