@article {
author = {KELLER, B.},
title = {CLUSTER ALGEBRAS AND CLUSTER CATEGORIES},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {37},
number = {No. 2},
pages = {187-234},
year = {2011},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {These are notes from introductory survey lectures given at the Institute for Studies in Theoretical Physics and Mathematics (IPM), Teheran, in 2008 and 2010. We present the definition and the fundamental properties of Fomin-Zelevinsky’s cluster algebras. Then, we introduce quiver representations and show how they can be used to construct cluster variables, which are the canonical generators of cluster algebras. From quiver representations, we proceed to the cluster category, which yields a complete categorification of the cluster algebra and its combinatorial underpinnings.},
keywords = {Cluster algebra,quiver representation,cluster category,triangulated category},
url = {http://bims.iranjournals.ir/article_331.html},
eprint = {http://bims.iranjournals.ir/article_331_d4a48fe4c80e61417522a29c539ecce5.pdf}
}