Rooted Clusters for Graph LP Algebras
نویسندگان
چکیده
LP algebras, introduced by Lam and Pylyavskyy, are a generalization of cluster algebras. These algebras known to have the Laurent phenomenon, but positivity remains conjectural. Graph finite encoded graph. For graph algebra defined tree, we define family clusters called rooted clusters. We prove for these giving explicit formulas each variable. also give combinatorial interpretation expansions using $T$-paths.
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ژورنال
عنوان ژورنال: Symmetry Integrability and Geometry-methods and Applications
سال: 2022
ISSN: ['1815-0659']
DOI: https://doi.org/10.3842/sigma.2022.089