Some conjectures on generalized cluster algebras via the cluster formula and D-matrix pattern

In the theory of generalized cluster algebras, we build the so-called cluster formula and D-matrix pattern. Then as applications, some fundamental conjectures of generalized cluster algebras are solved affirmatively.

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Bibliographic Details
Published inJournal of algebra Vol. 493; pp. 57 - 78
Main Authors Cao, Peigen, Li, Fang
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.01.2018
Subjects
Cluster algebra
Cluster formula
Cluster pattern
Exchange graph
Generalized cluster algebra
Exchange graph
Generalized cluster algebra
Cluster algebra
Cluster pattern
Cluster formula
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Summary:In the theory of generalized cluster algebras, we build the so-called cluster formula and D-matrix pattern. Then as applications, some fundamental conjectures of generalized cluster algebras are solved affirmatively.
ISSN:0021-8693
1090-266X
DOI:10.1016/j.jalgebra.2017.08.034