Algebras and Representation Theory

, Volume 14, Issue 1, pp 75–77

Appendix to Cluster-Cyclic Quivers with Three Vertices and the Markov Equation, by A. Beineke, Th. Brűstle and L. Hille


DOI: 10.1007/s10468-009-9176-z

Cite this article as:
Kerner, O. Algebr Represent Theor (2011) 14: 75. doi:10.1007/s10468-009-9176-z


The relation between the Markov constant of an acyclic cluster algebra of rank 3 and the dimension of the first Hochschild cohomology group of the corresponding hereditary algebra will be shown.


Cluster algebrasClustertilted algebrasHochschild cohomologyMarkov constant

Mathematics Subject Classifications (2000)


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© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  1. 1.Mathematisches InstitutHeinrich-Heine-Universität DüsseldorfDüsseldorfGermany