Tridiagonal pairs and the Askey--Wilson relations

DOI10.1016/j.laa.2004.10.004zbMath1068.05072OpenAlexW2076298540MaRDI QIDQ1774963

Nomura, Kazumasa

Publication date: 4 May 2005

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

Full work available at URL: https://doi.org/10.1016/j.laa.2004.10.004

zbMATH Keywords

eigenspacesLeonard pair

Mathematics Subject Classification ID

Related Items (22)

Tridiagonal pairs of \(q\)-Racah type ⋮ Matrix units associated with the split basis of a Leonard pair ⋮ Linear transformations that are tridiagonal with respect to both eigenbases of a Leonard pair ⋮ Sharp tridiagonal pairs ⋮ Towards a classification of the tridiagonal pairs ⋮ Tridiagonal pairs of Krawtchouk type ⋮ The structure of a tridiagonal pair ⋮ The switching element for a Leonard pair ⋮ Tridiagonal pairs and the \(\mu \)-conjecture ⋮ BIDIAGONAL PAIRS, THE LIE ALGEBRA 𝔰𝔩₂, AND THE QUANTUM GROUP U_q(𝔰𝔩₂) ⋮ A classification of sharp tridiagonal pairs ⋮ Mock tridiagonal systems ⋮ The determinant of \(AA^{*} - A^{*}A\) for a Leonard pair \(A,A^{*}\) ⋮ TWO NON-NILPOTENT LINEAR TRANSFORMATIONS THAT SATISFY THE CUBIC q-SERRE RELATIONS ⋮ TD-pairs and the $q$-Onsager algebra ⋮ \(p\)-inverting pairs of linear transformations and the \(q\)-tetrahedron algebra ⋮ The Classification of Finite-Dimensional Irreducible Modules of Bannai/Ito Algebra ⋮ Higher rank relations for the Askey-Wilson and \(q\)-Bannai-Ito algebra ⋮ Transition maps between the 24 bases for a Leonard pair ⋮ Tridiagonal pairs and the \(q\)-tetrahedron algebra ⋮ On the shape of a tridiagonal pair ⋮ Some trace formulae involving the split sequences of a Leonard pair

Cites Work

• Unnamed Item
• Unnamed Item
• TWO RELATIONS THAT GENERALIZE THE Q-SERRE RELATIONS AND THE DOLAN-GRADY RELATIONS
• LEONARD PAIRS AND THE ASKEY–WILSON RELATIONS
• Two linear transformations each tridiagonal with respect to an eigenbasis of the other

This page was built for publication: Tridiagonal pairs and the Askey--Wilson relations