Caldero, Philippe 1 ; Keller, Bernhard 
@article{ASENS_2006_4_39_6_983_0,
author = {Caldero, Philippe and Keller, Bernhard},
title = {From triangulated categories to cluster algebras {II}},
journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
pages = {983--1009},
year = {2006},
publisher = {Elsevier},
volume = {Ser. 4, 39},
number = {6},
doi = {10.1016/j.ansens.2006.09.003},
mrnumber = {2316979},
zbl = {05149415},
language = {en},
url = {https://www.numdam.org/articles/10.1016/j.ansens.2006.09.003/}
}
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 SP - 983 EP - 1009 VL - 39 IS - 6 PB - Elsevier UR - https://www.numdam.org/articles/10.1016/j.ansens.2006.09.003/ DO - 10.1016/j.ansens.2006.09.003 LA - en ID - ASENS_2006_4_39_6_983_0 ER -
%0 Journal Article %A Caldero, Philippe %A Keller, Bernhard %T From triangulated categories to cluster algebras II %J Annales scientifiques de l'École Normale Supérieure %D 2006 %P 983-1009 %V 39 %N 6 %I Elsevier %U https://www.numdam.org/articles/10.1016/j.ansens.2006.09.003/ %R 10.1016/j.ansens.2006.09.003 %G en %F ASENS_2006_4_39_6_983_0
Caldero, Philippe; Keller, Bernhard. From triangulated categories to cluster algebras II. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 39 (2006) no. 6, pp. 983-1009. doi: 10.1016/j.ansens.2006.09.003
[1] , , Representable functors, Serre functors, and reconstructions, Izv. Akad. Nauk SSSR Ser. Mat. 53 (6) (1989) 1183-1205, 1337. | Zbl | MR
[2] , , The equivalence of certain functors occurring in the representation theory of Artin algebras and species, J. LMS 14 (1) (1976) 183-187. | Zbl | MR
[3] , , , Cluster tilted algebras, Trans. Amer. Math. Soc. 359 (2007) 323-332. | Zbl | MR
[4] , , , Cluster mutation via quiver representations, Comment. Math. Helv., submitted for publication, math.RT/0412077.
[5] , , , , 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.
[6] , , , , , Tilting theory and cluster combinatorics, Adv. Math., submitted for publication, math.RT/0402054. | Zbl | MR
[7] , , Cluster algebras as Hall algebras of quiver representations, Comment. Math. Helv. 81 (2006) 595-616, math.RT/0410184. | Zbl | MR
[8] , , , Quivers with relations arising from clusters ( case), Trans. Amer. Math. Soc. 358 (2006) 1347-1364. | Zbl | MR
[9] , , , Quivers with relations and cluster tilted algebras, J. Alg. and Rep. Th., submitted for publication, math.RT/0411238. | Zbl | MR
[10] , , From triangulated categories to cluster algebras, Invent. Math., submitted for publication, math.RT/0506018. | Zbl
[11] , , Cluster algebras. I. Foundations, J. Amer. Math. Soc. 15 (2) (2002) 497-529. | Zbl | MR
[12] , , Cluster algebras. II. Finite type classification, Invent. Math. 154 (1) (2003) 63-121. | Zbl | MR
[13] , , Cluster algebras: Notes for the CDM-03 conference, math.RT/0311493. | Zbl
[14] , , , Rigid modules over preprojective algebras, math.RT/0503324. | Zbl
[15] , Triangulated Categories in the Representation Theory of Finite-Dimensional Algebras, London Mathematical Society Lecture Note Series, vol. 119, Cambridge University Press, Cambridge, 1988. | Zbl | MR
[16] , , , Piecewise hereditary algebras, London Math. Soc. 20 (1988) 23-28. | Zbl | MR
[17] Hubery A., Acyclic cluster algebras via Ringel-Hall algebras, Preprint available at the author's homepage.
[18] , Triangulated orbit categories, Doc. Math. 10 (2005) 551-581. | Zbl | MR | EuDML
[19] , , Cluster tilted algebras are Gorenstein and stably Calabi-Yau, math.RT/0512471. | Zbl
[20] , , Positivity and canonical bases in rank 2 cluster algebras of finite and affine types, Mosc. Math. J. 4 (4) (2004) 947-974, 982. | Zbl | MR
Cité par Sources :






