Finding a cluster-tilting object for a representation finite cluster-tilted algebra

M. A. Bertani-Økland; S. Oppermann; A. Wrålsen

Colloquium Mathematicae (2010)

  • Volume: 121, Issue: 2, page 249-263
  • ISSN: 0010-1354

Abstract

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We provide a technique to find a cluster-tilting object having a given cluster-tilted algebra as endomorphism ring in the finite type case.

How to cite

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M. A. Bertani-Økland, S. Oppermann, and A. Wrålsen. "Finding a cluster-tilting object for a representation finite cluster-tilted algebra." Colloquium Mathematicae 121.2 (2010): 249-263. <http://eudml.org/doc/283411>.

@article{M2010,
abstract = {We provide a technique to find a cluster-tilting object having a given cluster-tilted algebra as endomorphism ring in the finite type case.},
author = {M. A. Bertani-Økland, S. Oppermann, A. Wrålsen},
journal = {Colloquium Mathematicae},
keywords = {cluster categories; cluster-tilting objects; cluster-tilted algebras; Auslander-Reiten quivers; finite representation type; quivers with relations; endomorphism rings},
language = {eng},
number = {2},
pages = {249-263},
title = {Finding a cluster-tilting object for a representation finite cluster-tilted algebra},
url = {http://eudml.org/doc/283411},
volume = {121},
year = {2010},
}

TY - JOUR
AU - M. A. Bertani-Økland
AU - S. Oppermann
AU - A. Wrålsen
TI - Finding a cluster-tilting object for a representation finite cluster-tilted algebra
JO - Colloquium Mathematicae
PY - 2010
VL - 121
IS - 2
SP - 249
EP - 263
AB - We provide a technique to find a cluster-tilting object having a given cluster-tilted algebra as endomorphism ring in the finite type case.
LA - eng
KW - cluster categories; cluster-tilting objects; cluster-tilted algebras; Auslander-Reiten quivers; finite representation type; quivers with relations; endomorphism rings
UR - http://eudml.org/doc/283411
ER -

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