The cluster complex of an hereditary artin algebra

Details The cluster complex of an hereditary artin algebra The cluster complex of an hereditary artin algebra

2008-12-08

arxiv.org/abs/0812.1475v1

Mathematics

Representation Theory

Scientific paper

We show that the cluster complex of an arbitrary hereditary artin algebra has
the structure of an abstract simplicial polytope. In particular, the
cluster-tilting objects form one equivalence class under mutation.

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