Finite-type conjecture for linear LP algebras
A linear LP algebra is an LP algebra whose exchange polynomials are linear in the relevant cluster variables, allowing the coefficients and constant terms described in the paper. Finite-type conjecture. Every linear LP algebra is of finite type.
This would extend the finite-type phenomenon from graph LP algebras to arbitrary linear LP algebras. The source gives no proof or resolution.
References
Primary source
Thomas Lam and Pavlo Pylyavskyy, “Linear Laurent phenomenon algebras”, arXiv:1206.2612 (2012).
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