Leonard triples of \(q\)-Racah type and their pseudo intertwiners

DOI10.1016/j.laa.2016.11.019zbMath1352.15015OpenAlexW2553586429MaRDI QIDQ501274

Paul M. Terwilliger

Publication date: 29 December 2016

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

Full work available at URL: https://doi.org/10.1016/j.laa.2016.11.019

zbMATH Keywords

Leonard pairLeonard triple

Mathematics Subject Classification ID

Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Canonical forms, reductions, classification (15A21)

Related Items (2)

Unnamed Item ⋮ Tridiagonal pairs of \(q\)-Racah-type and the \(q\)-tetrahedron algebra

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Dirac-Dunkl equation on \(S^2\) and the Bannai-Ito algebra
• Leonard triples from Leonard pairs constructed from the standard basis of the Lie algebra
• The Leonard triples having classical type
• Leonard triples, the Racah algebra, and some distance-regular graphs of Racah type
• Leonard triples from the equitable basis of \(sl_2\)
• The classification of Leonard triples of QRacah type
• Finite-dimensional irreducible modules of the universal Askey-Wilson algebra
• Dunkl shift operators and Bannai-Ito polynomials
• Matrix units associated with the split basis of a Leonard pair
• Modular Leonard triples
• Racah polynomials and recoupling schemes of \(\mathfrak{su}(1,1)\)
• Leonard triples and hypercubes
• Some formulas for spin models on distance-regular graphs
• Leonard pairs from 24 points of view.
• Leonard pairs and the \(q\)-Racah polynomials
• Two linear transformations each tridiagonal with respect to an eigenbasis of the other; comments on the parameter array
• Two linear transformations each tridiagonal with respect to an eigenbasis of the other: comments on the split decomposition
• The Terwilliger algebra of a distance-regular graph that supports a spin model
• Leonard pairs having zero-diagonal TD-TD form
• Spin Leonard pairs
• The classification of Leonard triples that have Bannai/Ito type and odd diameter
• The classification of Leonard triples of Racah type
• Totally bipartite Leonard pairs and totally bipartite Leonard triples of \(q\)-Racah type
• Distance-regular graphs of \(q\)-Racah type and the universal Askey-Wilson algebra
• On the classification of irreducible finite-dimensional representations of Uq′(so3) algebra
• The Classification of Finite-Dimensional Irreducible Modules of Bannai/Ito Algebra
• Leonard Pairs and Leonard Triples ofq-Racah Type from the Quantum AlgebraU_q(sl₂)
• The Leonard triples extended from given Leonard pairs of Bannai/Ito type
• 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
• Orthogonal Polynomials, Duality and Association Schemes
• LEONARD PAIRS AND THE ASKEY–WILSON RELATIONS
• Representations of the cyclically symmetric q-deformed algebra soq(3)
• The Bannai–Ito algebra and a superintegrable system with reflections on the two-sphere
• Center of quantum algebra $U_q^{\prime }({\rm so}_3)$Uq′( so 3)
• The Bannai-Ito polynomials as Racah coefficients of the $sl_{-1}(2)$ algebra
• 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

This page was built for publication: Leonard triples of \(q\)-Racah type and their pseudo intertwiners