Indecomposable modules in coils

Piotr Malicki, Andrzej Skowroński, and Bertha Tomé. "Indecomposable modules in coils." Colloquium Mathematicae 93.1 (2002): 67-130. <http://eudml.org/doc/284974>.

@article{PiotrMalicki2002,
abstract = {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.},
author = {Piotr Malicki, Andrzej Skowroński, Bertha Tomé},
journal = {Colloquium Mathematicae},
keywords = {coil enlargements; tame concealed algebras; strongly simply connected algebras of polynomial growth; indecomposable non-directing modules; sincere standard stable tubes; Auslander-Reiten quivers},
language = {eng},
number = {1},
pages = {67-130},
title = {Indecomposable modules in coils},
url = {http://eudml.org/doc/284974},
volume = {93},
year = {2002},
}

TY - JOUR
AU - Piotr Malicki
AU - Andrzej Skowroński
AU - Bertha Tomé
TI - Indecomposable modules in coils
JO - Colloquium Mathematicae
PY - 2002
VL - 93
IS - 1
SP - 67
EP - 130
AB - 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.
LA - eng
KW - coil enlargements; tame concealed algebras; strongly simply connected algebras of polynomial growth; indecomposable non-directing modules; sincere standard stable tubes; Auslander-Reiten quivers
UR - http://eudml.org/doc/284974
ER -