Extremal properties for concealed-canonical algebras

• Autorzy: Michael Barot , Dirk Kussin , Helmut Lenzing
• Języki publikacji: EN

Abstrakty

EN

Canonical algebras, introduced by C. M. Ringel in 1984, play an important role in the representation theory of finite-dimensional algebras. They also feature in many other mathematical areas like function theory, 3-manifolds, singularity theory, commutative algebra, algebraic geometry and mathematical physics. We show that canonical algebras are characterized by a number of interesting extremal properties (among concealed-canonical algebras, that is, the endomorphism rings of tilting bundles on a weighted projective line). We also investigate the corresponding class of algebras antipodal to canonical ones. Our study yields new insights into the nature of concealed-canonical algebras, and sheds a new light on an old question: Why are the canonical algebras canonical?

Kategorie tematyczne

• 14H45: Special curves and curves of low genus
• 16G20: Representations of quivers and partially ordered sets

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2013
• Tom: 130
• Numer: 2
• Strony: 183-219

Daty

wydano

2013

Twórcy

autor

Michael Barot

• Instituto de Matemáticas, Universidad Nacional Autónoma de México, Ciudad Universitaria, C.P. 04510, México, D.F., México

autor

Dirk Kussin

• Settore di Matematica, Dipartimento di Informatica, Università degli Studi di Verona, 37134 Verona, Italy

autor

Helmut Lenzing

• Institut für Mathematik, Universität Paderborn, 33095 Paderborn, Germany

Identyfikatory

DOI

10.4064/cm130-2-4