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arXiv · 0903.4326

Combinatorial classification of piecewise hereditary algebras

Marcelo Lanzilotta·Maria Julia Redondo·Rachel Taillefer
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Abstract

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.

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Marcelo Lanzilotta, Maria Julia Redondo, Rachel Taillefer. 2009-03-25. Combinatorial classification of piecewise hereditary algebras. https://arxiv.org/abs/0903.4326

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