From triangulated categories to cluster algebras II

Philippe Caldero[1]; Bernhard Keller

  • [1] Université Claude Bernard Lyon I, Département de mathématiques, 69622 Villeurbanne Cedex (France)

Annales scientifiques de l'École Normale Supérieure (2006)

  • Volume: 39, Issue: 6, page 983-1009
  • ISSN: 0012-9593

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Caldero, Philippe, and Keller, Bernhard. "From triangulated categories to cluster algebras II." Annales scientifiques de l'École Normale Supérieure 39.6 (2006): 983-1009. <http://eudml.org/doc/82705>.

@article{Caldero2006,
affiliation = {Université Claude Bernard Lyon I, Département de mathématiques, 69622 Villeurbanne Cedex (France)},
author = {Caldero, Philippe, Keller, Bernhard},
journal = {Annales scientifiques de l'École Normale Supérieure},
language = {eng},
number = {6},
pages = {983-1009},
publisher = {Elsevier},
title = {From triangulated categories to cluster algebras II},
url = {http://eudml.org/doc/82705},
volume = {39},
year = {2006},
}

TY - JOUR
AU - Caldero, Philippe
AU - Keller, Bernhard
TI - From triangulated categories to cluster algebras II
JO - Annales scientifiques de l'École Normale Supérieure
PY - 2006
PB - Elsevier
VL - 39
IS - 6
SP - 983
EP - 1009
LA - eng
UR - http://eudml.org/doc/82705
ER -

References

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  2. [2] Brenner S., Butler M.C.R., The equivalence of certain functors occurring in the representation theory of Artin algebras and species, J. LMS14 (1) (1976) 183-187. Zbl0351.16011MR442031
  3. [3] Buan A.B., Marsh R.J., Reiten I., Cluster tilted algebras, Trans. Amer. Math. Soc.359 (2007) 323-332. Zbl1123.16009MR2247893
  4. [4] Buan A.B., Marsh R.J., Reiten I., Cluster mutation via quiver representations, Comment. Math. Helv., submitted for publication, math.RT/0412077. Zbl1193.16016
  5. [5] Buan A.B., Marsh R.J., Reiten I., Todorov G., Clusters and seeds in acyclic cluster algebras. Appendix by A.B. Buan, R.J. Marsh, P. Caldero, B. Keller, I. Reiten, and G. Todorov, Proc. Amer. Math. Soc., submitted for publication, math.RT/0510359. Zbl1190.16022
  6. [6] Buan A.B., Marsh R.J., Reineke M., Reiten I., Todorov G., Tilting theory and cluster combinatorics, Adv. Math., submitted for publication, math.RT/0402054. Zbl1127.16011MR2249625
  7. [7] Caldero P., Chapoton F., Cluster algebras as Hall algebras of quiver representations, Comment. Math. Helv.81 (2006) 595-616, math.RT/0410184. Zbl1119.16013MR2250855
  8. [8] Caldero P., Chapoton F., Schiffler R., Quivers with relations arising from clusters ( A n case), Trans. Amer. Math. Soc.358 (2006) 1347-1364. Zbl1137.16020MR2187656
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  10. [10] Caldero P., Keller B., From triangulated categories to cluster algebras, Invent. Math., submitted for publication, math.RT/0506018. Zbl1141.18012
  11. [11] Fomin S., Zelevinsky A., Cluster algebras. I. Foundations, J. Amer. Math. Soc.15 (2) (2002) 497-529. Zbl1021.16017MR1887642
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  14. [14] Geiss C., Leclerc B., Schröer J., Rigid modules over preprojective algebras, math.RT/0503324. Zbl1167.16009
  15. [15] Happel D., Triangulated Categories in the Representation Theory of Finite-Dimensional Algebras, London Mathematical Society Lecture Note Series, vol. 119, Cambridge University Press, Cambridge, 1988. Zbl0635.16017MR935124
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  17. [17] Hubery A., Acyclic cluster algebras via Ringel–Hall algebras, Preprint available at the author's homepage. Zbl1253.16014
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