Geodesic
Endomorphism rings of maximal rigid objects in cluster tubes
Dagfinn F. Vatne1
1 Institutt for Matematiske Fag Norges Teknisk-Naturvitenskapelige Universitet N-7491 Trondheim, Norway
Colloquium Mathematicum, Tome 123 (2011) no. 1, pp. 63-93.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/cm123-1-6
Keywords: describe endomorphism rings maximal rigid objects cluster categories tubes moreover gentle have gorenstein dimension analyse their representation theory prove finite type finally study relationship between module category cluster tube via hom functor

Dagfinn F. Vatne 1

1 Institutt for Matematiske Fag Norges Teknisk-Naturvitenskapelige Universitet N-7491 Trondheim, Norway 
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Dagfinn F. Vatne. Endomorphism rings of
 maximal rigid objects in cluster tubes. Colloquium Mathematicum, Tome 123 (2011) no. 1, pp. 63-93. doi : 10.4064/cm123-1-6. http://geodesic.mathdoc.fr/articles/10.4064/cm123-1-6/

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