Cluster algebras and preprojective algebras: the non-simply laced case.

DOI10.1016/j.crma.2008.02.007zbMath1166.16006arXiv0711.4098OpenAlexW1625642981MaRDI QIDQ2427217

Laurent Demonet

Publication date: 8 May 2008

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.4098

zbMATH Keywords

cluster algebraspreprojective algebras

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20) Associative rings and algebras arising under various constructions (16S99)

Related Items (5)

A non-simply-laced version for cluster structures on 2-Calabi-Yau categories. ⋮ An approach to non-simply laced cluster algebras. ⋮ Cluster algebras and Grassmannians of type \(G _{2}\) ⋮ On cluster algebras with coefficients and 2-Calabi-Yau categories ⋮ Categorification of skew-symmetrizable cluster algebras

Cites Work

• Skew group algebras in the representation theory of Artin algebras
• Partial flag varieties and preprojective algebras.
• An approach to non-simply laced cluster algebras.
• Semicanonical bases arising from enveloping algebras
• Cluster algebras. III: Upper bounds and double Bruhat cells.
• Rigid modules over preprojective algebras.
• Cluster algebras I: Foundations
• Clusters in Non-simply-laced Finite Type via Frobenius Morphisms
• Semicanonical bases and preprojective algebras II: A multiplication formula
• Semicanonical bases and preprojective algebras
• Introduction to quantum groups

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