EXPLICIT CONSTRUCTION OF COMPANION BASES

DOI10.1017/S0017089515000233zbMath1375.13041arXiv1312.0320OpenAlexW2964240349MaRDI QIDQ2806139

Mark James Parsons

Publication date: 13 May 2016

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.0320

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Cluster algebras (13F60) Root systems (17B22)

Cites Work

• Towards derived equivalence classification of the cluster-tilted algebras of Dynkin type \(D\).
• Cluster-concealed algebras.
• Cluster-tilted algebras of finite representation type.
• Quivers with relations and cluster tilted algebras.
• Derived equivalence classification for cluster-tilted algebras of type \(A_n\).
• Quivers with potentials and their representations. I: Mutations.
• Cluster algebras. II: Finite type classification
• Cluster mutation via quiver representations.
• c-vectors and dimension vectors for cluster-finite quivers
• Cluster-tilted algebras
• The Mutation Class ofD_nQuivers
• Auslander-reiten sequences with few middle terms and applications to string algebrass
• CLUSTER ALGEBRAS OF FINITE TYPE AND POSITIVE SYMMETRIZABLE MATRICES
• Reflection group presentations arising from cluster algebras
• Quivers with relations arising from clusters (𝐴_{𝑛} case)

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