Categorification of sign-skew-symmetric cluster algebras and some conjectures on \(\mathbf{g}\)-vectors

DOI10.1007/s10468-021-10081-7zbMath1524.13072arXiv1704.07549OpenAlexW3186938811MaRDI QIDQ6166120

Peigen Cao, Fang Li, Min Huang

Publication date: 2 August 2023

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.07549

zbMATH Keywords

\(\mathbf{g}\)-vectorssign-coherenceacyclic sign-skew-symmetric cluster algebras

Mathematics Subject Classification ID

Representations of quivers and partially ordered sets (16G20) Cluster algebras (13F60)

Related Items

On the properties of acyclic sign-skew-symmetric cluster algebras, Proper Laurent monomial property of acyclic cluster algebras, Cluster algebras arising from cluster tubes. II: the Caldero-Chapoton map

Cites Work

• Cluster characters for cluster categories with infinite-dimensional morphism spaces
• Categorification of skew-symmetrizable cluster algebras
• Cluster algebras. II: Finite type classification
• Unfolding of sign-skew-symmetric cluster algebras and its applications to positivity and \(F\)-polynomials
• Cluster algebras. III: Upper bounds and double Bruhat cells.
• Tilting theory and cluster combinatorics.
• Cluster algebras I: Foundations
• Cluster algebras via cluster categories with infinite-dimensional morphism spaces
• Canonical bases for cluster algebras
• Cluster structures for 2-Calabi–Yau categories and unipotent groups
• Cluster algebras IV: Coefficients
• On the Combinatorics of Rigid Objects in 2-Calabi-Yau Categories
• Quivers with potentials and their representations II: Applications to cluster algebras
• On cluster algebras with coefficients and 2-Calabi-Yau categories
• On tropical dualities in cluster algebras