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Difference equations and cluster algebras I: Poisson bracket for integrable difference equations by Inoue, Rei; Nakanishi, Tomoki is a scholarly article available to read on EtoBox.

What is Difference equations and cluster algebras I: Poisson bracket for integrable difference equations about?

We introduce the cluster algebraic formulation of the integrable difference equations, the discrete Lotka-Volterra equation and the discrete Liouville equation, from the view point of the general T-system and Y-system. We also study the Poisson structure for the cluster algebra, and give the associated Poisson bracket for the two difference equations.

Author

Inoue, Rei; Nakanishi, Tomoki

Published

2010

Language

EN