On the Properties of Acyclic Sign-Skew-Symmetric Cluster Algebras

We study the tropical dualities and properties of exchange graphs for the totally sign-skew-symmetric cluster algebra under a condition. We prove that the condition always holds for acyclic cluster algebras, then all results hold for the acyclic case.

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Bibliographische Detailangaben
Veröffentlicht in:	Algebras and representation theory 2024-02, Vol.27 (1), p.745-766
1. Verfasser:	Liu, Siyang
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Associative Rings and Algebras Clusters Commutative Rings and Algebras Mathematics Mathematics and Statistics Non-associative Rings and Algebras
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Beschreibung
Zusammenfassung:	We study the tropical dualities and properties of exchange graphs for the totally sign-skew-symmetric cluster algebra under a condition. We prove that the condition always holds for acyclic cluster algebras, then all results hold for the acyclic case.
ISSN:	1386-923X 1572-9079
DOI:	10.1007/s10468-023-10239-5