THE FIRST HOCHSCHILD COHOMOLOGY GROUP OF A CLUSTER TILTED ALGEBRA REVISITED

DOI10.1142/S0218196713400067zbMath1279.16008arXiv1209.2146OpenAlexW2963484890MaRDI QIDQ2842017

Ralf Schiffler, Juan Carlos Bustamante, Kiyoshi Igusa, Ibrahim Assem

Publication date: 30 July 2013

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.2146

zbMATH Keywords

Hochschild cohomology groupscluster-tilted algebras

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representations of quivers and partially ordered sets (16G20) Cluster algebras (13F60)

Related Items (8)

Hochschild cohomology of partial relation extensions ⋮ From the potential to the first Hochschild cohomology group of a cluster tilted algebra ⋮ Injective presentations of induced modules over cluster-tilted algebras ⋮ Induced and coinduced modules over cluster-tilted algebras ⋮ On the first Hochschild cohomology group of a cluster-tilted algebra ⋮ Hochschild cohomology of relation extension algebras ⋮ A Course on Cluster Tilted Algebras ⋮ The first Hochschild (co)homology when adding arrows to a bound quiver algebra

Cites Work

• Cluster-tilted algebras and slices.
• The first Hochschild cohomology group of a Schurian cluster-tilted algebra.
• Cohomology of incidence algebras and simplicial complexes
• Hochschild cohomology and derived Picard groups.
• On the cohomology groups of an associative algebra
• Cluster algebras I: Foundations
• Cluster-tilted algebras
• Quivers with potentials and their representations II: Applications to cluster algebras
• The fundamental groups of a triangular algebra
• Cluster-tilted algebras as trivial extensions
• Quivers with relations arising from clusters (𝐴_{𝑛} case)
• On the first Hochschild cohomology group of an algebra

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