The classification of Leonard triples that have Bannai/Ito type and odd diameter

DOI10.1016/j.laa.2013.07.004zbMath1283.15007OpenAlexW2088899103WikidataQ112882220 ScholiaQ112882220MaRDI QIDQ2435426

Bo Hou, Suo-gang Gao, Li Juan Wang

Publication date: 19 February 2014

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2013.07.004

zbMATH Keywords

linear transformationLeonard pairLeonard tripleBannai/Itō typeLeonard systemAskey-Wilson relation

Mathematics Subject Classification ID

Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Linear transformations, semilinear transformations (15A04)

Related Items (9)

The Classification of Leonard Triples of Bannai/Ito Type with Even Diameters ⋮ Leonard triples of Krawtchouk type ⋮ The Leonard triples with quantum parameter being not a unit root ⋮ Totally almost bipartite Leonard pairs and Leonard triples of q-Racah type ⋮ Unnamed Item ⋮ The Leonard triples having classical type ⋮ Leonard triples from the equitable basis of \(sl_2\) ⋮ Leonard triples of \(q\)-Racah type and their pseudo intertwiners ⋮ The Classification of Finite-Dimensional Irreducible Modules of Bannai/Ito Algebra

Cites Work

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• The classification of Leonard triples of QRacah type
• Hessenberg pairs of linear transformations
• Linear transformations that are tridiagonal with respect to both eigenbases of a Leonard pair
• Modular Leonard triples
• Two linear transformations each tridiagonal with respect to an eigenbasis of the other; comments on the parameter array
• Spin Leonard pairs
• The classification of Leonard triples of Racah type
• Two linear transformations each tridiagonal with respect to an eigenbasis of the other; the TD-D canonical form and the LB-UB canonical form
• LEONARD PAIRS AND THE ASKEY–WILSON RELATIONS
• Totally bipartite/abipartite Leonard pairs and Leonard triples of Bannai/ito type
• Two linear transformations each tridiagonal with respect to an eigenbasis of the other

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