Laurent phenomenon algebras and the discrete BKP equation

  title={Laurent phenomenon algebras and the discrete BKP equation},
  author={Naoto Okubo},
  journal={Journal of Physics A: Mathematical and Theoretical},
  • Naoto Okubo
  • Published 3 May 2016
  • Mathematics
  • Journal of Physics A: Mathematical and Theoretical
We construct the Laurent phenomenon algebras the cluster variables of which satisfy the discrete BKP equation, the discrete Sawada–Kotera 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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