Representation theory of Dynkin quivers. Three contributions

DOI10.1007/S11464-016-0548-5zbMath1372.16012arXiv1602.06773OpenAlexW2275605403MaRDI QIDQ335357

Claus Michael Ringel

Publication date: 2 November 2016

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.06773

zbMATH Keywords

one-point extensionrepresentations of quiversquiverAuslander-Reiten quiversimplification2-4-8 propertyantichains of a posetantichains of an additive categoryconical representations of star quiversDynkin quiverEuclidean quiverexceptional vertices of a Dynkin quiverfiltrations of vector spaceshammocksmagic Freudenthal-Tits squareperpendicular subcategoriesthick subcategoriesthin representations

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Module categories in associative algebras (16D90) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20)

Related Items (6)

An elementary discussion of the representation and geometric invariant theory of equioriented quivers of type D with an application to quiver bundles ⋮ Decomposition of persistence modules ⋮ Gaps for the Igusa-Todorov function ⋮ Gluing of \(n\)-cluster tilting subcategories for representation-directed algebras ⋮ Coxeter Diagrams and the Köthe’s Problem ⋮ Interval decomposition of infinite zigzag persistence modules

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