Leonard triples of Krawtchouk type

DOI10.1080/03081087.2015.1009060zbMath1327.05343OpenAlexW2025203639MaRDI QIDQ3455687

Na Kang, Bo Hou, Suo-gang Gao

Publication date: 11 December 2015

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

Full work available at URL: https://doi.org/10.1080/03081087.2015.1009060

zbMATH Keywords

Leonard pairAskey-Wilson relationsLeonard tripleKrawtchouk type

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Association schemes, strongly regular graphs (05E30)

Related Items (4)

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

Cites Work

• Krawtchouk polynomials, the Lie algebra \(\mathfrak{sl}_2\), and Leonard pairs
• 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
• Normalized Leonard pairs and Askey--Wilson relations
• Modular Leonard triples
• Leonard triples and hypercubes
• Two linear transformations each tridiagonal with respect to an eigenbasis of the other; comments on the parameter array
• 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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