Abstract

TODOROV, Gordana. Cluster categories and their relation to Cluster algebras, Semi-invariants and Homology of torsion free nilpotent groups. Rev. Unión Mat. Argent. [online]. 2007, vol.48, n.3, pp.27-52. ISSN 0041-6932.

The structure of cluster categories [BMRRT] is well suited for the combinatorics of cluster algebras [FZ1] with the main correspondence being between tilting objects and clusters. Furthermore it was shown in [IOTW] that there is a close relation between domains of virtual semi-invariants and simplicial complexes associated to cluster categories. Also the same simplicial complexes associated to cluster categories are related to the Igusa-Orr pictures in the homology of nilpotent groups.

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