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Mathematics > Representation Theory
Title: Cluster Monomials in Graph Laurent Phenomenon Algebras
(Submitted on 24 Apr 2024)
Abstract: Laurent Phenomenon algebras, first introduced by Lam and Pylyavskyy, are a generalization of cluster algebras that still possess many salient features of cluster algebras. Linear Laurent Phenomenon algebras, defined by Lam and Pylyavskyy, are a subclass of Laurent Phenomenon algebras whose structure is given by the data of a directed graph. The main result of this paper is that the cluster monomials of a linear Laurent Phenomenon algebra form a linear basis, conjectured by Lam and Pylyavskyy and analogous to a result for cluster algebras by Caldero and Keller.
Submission history
From: Guilherme Zeus Dantas e Moura [view email][v1] Wed, 24 Apr 2024 19:18:57 GMT (16kb)
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