The Norton algebra of a \(Q\)-polynomial distance-regular graph

DOI10.1016/j.jcta.2021.105477zbMath1479.05372arXiv2006.04997OpenAlexW3158748295MaRDI QIDQ2037186

Paul M. Terwilliger

Publication date: 30 June 2021

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.04997

zbMATH Keywords

Bose-Mesner algebra\(Q\)-polynomialLeonard systemKrein parameter

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Other algebras built from modules (15A78)

Related Items (2)

On the trivial \(T\)-module of a graph ⋮ On bipartite graphs with exactly one irreducible \(T\)-module with endpoint 1, which is thin

Cites Work

• Distance-regular graphs
• A characterization of \(P\)- and \(Q\)-polynomial association schemes
• A new inequality for distance-regular graphs
• Notes on the Leonard system classification
• Nonassociativity of the Norton algebras of some distance regular graphs
• Orthogonal Polynomials, Duality and Association Schemes
• Two linear transformations each tridiagonal with respect to an eigenbasis of the other
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