Combinatorial classification of piecewise hereditary algebras

DOI10.1515/FORM.2011.044zbMath1263.16018arXiv0903.4326MaRDI QIDQ3106318

Rachel Taillefer, Marcelo Américo Lanzilotta, Maria Julia Redondo

Publication date: 20 December 2011

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.4326

zbMATH Keywords

Cartan matricesbounded derived categoriespiecewise hereditary algebrasCoxeter polynomialsindecomposable projective right modulestrace of Coxeter matrices

Mathematics Subject Classification ID

Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Representations of associative Artinian rings (16G10) Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. (16E60) Derived categories and associative algebras (16E35)

Cites Work

• On the derived category of a finite-dimensional algebra
• The Coxeter polynomial for a one point extension algebra.
• The trace of the Coxeter matrix and Hochschild cohomology
• Methods to determine Coxeter polynomials
• Piecewise hereditary one-point extensions
• On the periodicity of Coxeter transformations and the non-negativity of their Euler forms
• A characterization of hereditary categories with tilting object

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