Endomorphism rings of maximal rigid objects in cluster tubes

Dagfinn F. Vatne. "Endomorphism rings of maximal rigid objects in cluster tubes." Colloquium Mathematicae 123.1 (2011): 63-93. <http://eudml.org/doc/284308>.

@article{DagfinnF2011,
abstract = {We describe the endomorphism rings of maximal rigid objects in the cluster categories of tubes. Moreover, we show that they are gentle and have Gorenstein dimension 1. We analyse their representation theory and prove that they are of finite type. Finally, we study the relationship between the module category and the cluster tube via the Hom-functor.},
author = {Dagfinn F. Vatne},
journal = {Colloquium Mathematicae},
keywords = {cluster tubes; cluster categories; endomorphism rings; 2-Calabi-Yau categories; gentle algebras; string algebras; finite representation type; module categories},
language = {eng},
number = {1},
pages = {63-93},
title = {Endomorphism rings of maximal rigid objects in cluster tubes},
url = {http://eudml.org/doc/284308},
volume = {123},
year = {2011},
}

TY - JOUR
AU - Dagfinn F. Vatne
TI - Endomorphism rings of maximal rigid objects in cluster tubes
JO - Colloquium Mathematicae
PY - 2011
VL - 123
IS - 1
SP - 63
EP - 93
AB - We describe the endomorphism rings of maximal rigid objects in the cluster categories of tubes. Moreover, we show that they are gentle and have Gorenstein dimension 1. We analyse their representation theory and prove that they are of finite type. Finally, we study the relationship between the module category and the cluster tube via the Hom-functor.
LA - eng
KW - cluster tubes; cluster categories; endomorphism rings; 2-Calabi-Yau categories; gentle algebras; string algebras; finite representation type; module categories
UR - http://eudml.org/doc/284308
ER -