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Combinatorial classification of piecewise hereditary algebras
-
Marcelo Lanzilotta
,
Maria Julia Redondo
Published/Copyright:
May 31, 2010
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.
Keywords.: Piecewise hereditary algebra; Coxeter polynomial
Received: 2009-03-25
Published Online: 2010-05-31
Published in Print: 2011-November
© de Gruyter 2011
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Articles in the same Issue
- Almost global existence for quasilinear wave equations with inhomogeneous terms in 3D
- Heegner points and Eisenstein series
- Discrete components of some complementary series
- Even universal binary Hermitian lattices over imaginary quadratic fields
- Combinatorial classification of piecewise hereditary algebras
- Weighted energy estimates for wave equations in exterior domains
- Invariant sets and ergodic decomposition of local semi-Dirichlet forms
- Regularity in parabolic Dini continuous systems
- The reciprocity law for the twisted second moment of Dirichlet L-functions
