Extended canonical algebras and Fuchsian singularities

Abstract

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).

35 pages

Cited by in corpus (9)

• On Arnold's 14 `exceptional' N=2 superconformal gauge theories
• Stable categories of Cohen-Macaulay modules and cluster categories
• Categorical Tinkertoys for N=2 Gauge Theories
• n-representation-finite algebras and twisted fractionally Calabi-Yau algebras
• More Arnold's N = 2 superconformal gauge theories
• Spectral analysis of finite dimensional algebras and singularities
• A note on exceptional unimodal singularities and K3 surfaces
• Refined Coxeter polynomials
• Gamma integral structure for an invertible polynomial of chain type