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



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 algebras Clustertilted algebras Hochschild cohomology Markov constant 

Mathematics Subject Classifications (2000)

16G20 16E40 


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    Lukas, F.: Elementare moduln über wilden erblichen algebren. Thesis, Düsseldorf (1992)Google Scholar

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© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  1. 1.Mathematisches InstitutHeinrich-Heine-Universität DüsseldorfDüsseldorfGermany

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