Classical Leonard Triples Alyona Korovnichenko And Alexei Zhedanov  Home/Search
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Abstract: We study classical Leonard triples from the point of view of nonlinear Poisson algebras. It is shown that these triples essentially are equivalent to the classical Askey-Wilson algebra. Chains of involutions of these triples give rise to dynamical systems with discrete time. In special cases they can be solved explicitly in terms of elliptic functions of second order. Relations with the generalized Markov problem in number theory and the Poncelet problem in projective geometry are... (Update)
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BibTeX entry: (Update)
@misc{ triples-elliptic,
author = "Classical Leonard Triples",
title = "Elliptic Integrable Systems",
url = "citeseer.ist.psu.edu/754661.html" }
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