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arXiv · 1605.00780

Laurent phenomenon algebras and the discrete BKP equation

Naoto Okubo
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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.

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Naoto Okubo. 2016-05-03. Laurent phenomenon algebras and the discrete BKP equation. https://doi.org/10.1088/1751-8113%2F49%2F35%2F355201

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