How to recognize a Leonard pair

DOI10.1080/03081087.2019.1590303zbMath1468.15008arXiv1901.10659OpenAlexW2922507605MaRDI QIDQ4965581

Edward Hanson

Publication date: 6 March 2021

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

Full work available at URL: https://arxiv.org/abs/1901.10659

zbMATH Keywords

orthogonal polynomialsdistance-regular graphintersection numberstridiagonal matrixLeonard pair

Mathematics Subject Classification ID

Linear transformations, semilinear transformations (15A04) Canonical forms, reductions, classification (15A21) Diagonalization, Jordan forms (15A20)

Cites Work

• Unnamed Item
• A characterization of Leonard pairs using the notion of a tail
• The classification of Leonard triples of QRacah type
• The subconstituent algebra of an association scheme. I
• 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
• Introduction to Leonard pairs.
• A characterization of Leonard pairs using the parameters \(\{a_i\}^d_{i=0}\)
• A characterization of bipartite Leonard pairs using the notion of a tail
• 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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