A Geometric Realization of them-cluster Category of Affine TypeA
From MaRDI portal
Publication:5256752
DOI10.1080/00927872.2014.903403zbMath1338.16020arXiv1208.2138OpenAlexW1971579181MaRDI QIDQ5256752
Publication date: 19 June 2015
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1208.2138
Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20) Cluster algebras (13F60)
Related Items (7)
\(m\)-cluster tilted algebras of Euclidean type ⋮ A Geometric Model for the Module Category of a Gentle Algebra ⋮ A geometric interpretation of categories of type \(\tilde{a}\) and of morphisms in the infinite radical ⋮ m-cluster tilted algebras of type ⋮ Gentle m-Calabi-Yau tilted algebras ⋮ Monomial Gorenstein algebras and the stably Calabi-Yau property ⋮ Combinatorial model for the cluster categories of type \(E\)
Cites Work
- Unnamed Item
- On the cluster category of a marked surface without punctures.
- Coloured quiver mutation for higher cluster categories.
- Cluster-tilted algebras of finite representation type.
- Quivers with relations and cluster tilted algebras.
- Cluster algebras and triangulated surfaces. I: Cluster complexes
- Rigid objects in higher cluster categories
- Cluster algebras. II: Finite type classification
- \(Y\)-systems and generalized associahedra
- Cluster combinatorics of \(d\)-cluster categories.
- Cluster mutation via quiver representations.
- A geometric model for cluster categories of type \(D_n\).
- Generalized cluster complexes via quiver representations.
- Defining an \(m\)-cluster category.
- Mutation in triangulated categories and rigid Cohen-Macaulay modules
- Tilting theory and cluster combinatorics.
- Cluster algebras I: Foundations
- Finite mutation classes of coloured quivers
- Acyclic quivers of finite mutation type
- Cluster-tilted algebras
- A geometric description of $m$-cluster categories
- COLORED QUIVERS OF TYPE A AND THE CELL-GROWTH PROBLEM
- A Geometric Description of them-cluster Categories of TypeDn
- Quivers with relations arising from clusters (𝐴_{𝑛} case)
This page was built for publication: A Geometric Realization of them-cluster Category of Affine TypeA