Extended canonical algebras and Fuchsian singularities

Mathematics – Representation Theory

Scientific paper

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35 pages

Scientific paper

We introduce a new class of finite dimensional algebras, called extended
canonical, investigate their derived categories and study the spectral behavior
of their Coxeter transformations. The subject relates to the triangulated
categories of (graded) singularities introduced by R. Buchweitz (1987) and D.
Orlov (2004).

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