Finite-type conjecture for linear LP algebras
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.
Sources & referencesView supporting material
Primary source
Thomas Lam and Pavlo Pylyavskyy, “Linear Laurent phenomenon algebras”, arXiv:1206.2612 (2012).
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