Laurent phenomenon algebras and the discrete BKP equation

Abstract

We construct the Laurent phenomenon algebras the cluster variables of which satisfy the discrete BKP equation and other difference equations obtained by its reduction. These Laurent phenomenon algebras are constructed from seeds with a generalization of mutation-period property. We show that a reduction of a seed corresponds to a reduction of a difference equation.

15 pages

References in corpus (1)

• Bilinear equations and $q$-discrete Painlevé equations satisfied by variables and coefficients in cluster algebras

Cited by in corpus (1)

• The solution to the initial value problem for the ultradiscrete Somos-4 and 5 equations