Mathematics – Representation Theory
Scientific paper
2009-03-25
Mathematics
Representation Theory
Scientific paper
We use the characteristic polynomial of the Coxeter matrix of an algebra to complete the combinatorial classification of piecewise hereditary algebras which Happel gave in terms of the trace of the Coxeter matrix. We also give a cohomological interpretation of the coefficients (other than the trace) of the characteristic polynomial of the Coxeter matrix of any finite dimensional algebra with finite global dimension.
Lanzilotta Marcelo
Redondo Maria Julia
Taillefer Rachel
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