Sharp tridiagonal pairs

DOI10.1016/j.laa.2008.02.006zbMath1193.05164arXiv0712.3665OpenAlexW2963110108MaRDI QIDQ927753

Paul M. Terwilliger, Nomura, Kazumasa

Publication date: 9 June 2008

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

Full work available at URL: https://arxiv.org/abs/0712.3665

zbMATH Keywords

orthogonal polynomial\(q\)-Racah polynomialtridiagonal pairLeonard pair

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (22)

Tridiagonal pairs of \(q\)-Racah type ⋮ Tridiagonal pairs of \(q\)-Serre type and their linear perturbations ⋮ Unnamed Item ⋮ The shape of some linear transformations ⋮ Twisting finite-dimensional modules for the \(q\)-Onsager algebra \(\mathcal{O}_q\) via the Lusztig automorphism ⋮ Unnamed Item ⋮ Tridiagonal pairs, alternating elements, and distance-regular graphs ⋮ On relative \(t\)-designs in polynomial association schemes ⋮ The structure of some linear transformations ⋮ The structure of a tridiagonal pair ⋮ Tridiagonal pairs and the \(\mu \)-conjecture ⋮ The traces associated with a sharp tridiagonal system ⋮ BIDIAGONAL PAIRS, THE LIE ALGEBRA 𝔰𝔩₂, AND THE QUANTUM GROUP U_q(𝔰𝔩₂) ⋮ Tridiagonal pairs of \(q\)-Racah type and the \(\mu \)-conjecture ⋮ A classification of sharp tridiagonal pairs ⋮ Some properties of sharp Hessenberg pairs ⋮ Mock tridiagonal systems ⋮ HOW TO SHARPEN A TRIDIAGONAL PAIR ⋮ Affine transformations of a sharp tridiagonal pair ⋮ Self-dual Leonard pairs ⋮ Tridiagonal pairs and the \(q\)-tetrahedron algebra ⋮ On the shape of a tridiagonal pair

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