Indecomposable modules in coils

• Autorzy: Piotr Malicki , Andrzej Skowroński , Bertha Tomé
• Języki publikacji: EN

Abstrakty

EN

We describe the structure of all indecomposable modules in standard coils of the Auslander-Reiten quivers of finite-dimensional algebras over an algebraically closed field. We prove that the supports of such modules are obtained from algebras with sincere standard stable tubes by adding braids of two linear quivers. As an application we obtain a complete classification of non-directing indecomposable modules over all strongly simply connected algebras of polynomial growth.

Kategorie tematyczne

• 16G20: Representations of quivers and partially ordered sets
• 16G60: Representation type (finite, tame, wild, etc.)
• 16G70: Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2002
• Tom: 93
• Numer: 1
• Strony: 67-130

Daty

wydano

2002

Twórcy

autor

Piotr Malicki

• Faculty of Mathematics and Computer Science, Nicholas Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

autor

Andrzej Skowroński

• Faculty of Mathematics and Computer Science, Nicholas Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

autor

Bertha Tomé

• Facultad de Ciencias, Departamento de Matemáticas, Universidad Nacional Autónoma de México, México 04510 D.F., Mexico

Identyfikatory

DOI

10.4064/cm93-1-7