Connectedness of the Tilting Graph
Master thesis
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http://hdl.handle.net/11250/258286Utgivelsesdato
2009Metadata
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Sammendrag
We show that for a basic hereditary artin algebra over a commutative artin ring, the poset called the cluster complex of the algebra has the structure of an abstract simplicial polytope. From this result one can deduce that the cluster tilting graph is connected.