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Combinatorial classification of piecewise hereditary algebras.
- Source :
-
Forum Mathematicum . 2011, Vol. 23 Issue 6, p1203-1215. 13p. - Publication Year :
- 2011
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09337741
- Volume :
- 23
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Forum Mathematicum
- Publication Type :
- Academic Journal
- Accession number :
- 67291935
- Full Text :
- https://doi.org/10.1515/FORM.2011.044