The Classification of Leonard Triples of Bannai/Ito Type with Even Diameters

DOI10.1080/00927872.2014.923899zbMath1328.15005OpenAlexW1791539030MaRDI QIDQ3448259

Bo Hou, Yuchun Xu, Suo-gang Gao

Publication date: 23 October 2015

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2014.923899

zbMATH Keywords

linear transformationLeonard pairAskey-Wilson relationsLeonard tripleBannai/Itō typeLeonard system

Mathematics Subject Classification ID

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

Related Items (5)

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 ⋮ 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 that have Bannai/Ito type and odd diameter
• 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
• Two linear transformations each tridiagonal with respect to an eigenbasis of the other

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