%0 Journal Article
%T Cluster categories and their relation to Cluster algebras, Semi-invariants and Homology of torsion free nilpotent groups
%A Todorov
%A Gordana
%J Revista de la Uni£¿3n Matem£¿£¿tica Argentina
%D 2007
%I Uni¨®n Matem¨¢tica Argentina
%X 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.
%U http://www.scielo.org.ar/scielo.php?script=sci_abstract&pid=S0041-69322007000300002&lng=en&nrm=iso&tlng=en