Extended canonical algebras and Fuchsian singularities
Helmut Lenzing, Jos\'e Antonio de la Pe\~na
TL;DR
This paper introduces extended canonical algebras, explores their derived categories, and examines the spectral properties of their Coxeter transformations, linking to the theory of graded singularities.
Contribution
It defines a new class of finite-dimensional algebras and analyzes their derived categories and Coxeter spectra, connecting to existing singularity theories.
Findings
Introduction of extended canonical algebras
Analysis of their derived categories
Study of Coxeter transformation spectra
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).
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons