Every circular Hessenberg pair on a finite-dimensional vector space satisfies the two tridiagonal relations.
Notes on the Leonard system classification
1 Pith paper cite this work. Polarity classification is still indexing.
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abstract
Around 2001 we classified the Leonard systems up to isomorphism. The proof was lengthy and involved considerable computation. In this paper we give a proof that is shorter and involves minimal computation. We also give a comprehensive descriptionof the intersection numbers of a Leonard system.
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Circular Hessenberg pairs and the tridiagonal relations
Every circular Hessenberg pair on a finite-dimensional vector space satisfies the two tridiagonal relations.