Cluster characters
Representation Theory
2017-09-21 v3
Abstract
These are lecture notes from a mini-course given at the CIMPA in Mar del Plata, Argentina, in March 2016. The aim of the course was to introduce cluster characters for 2-Calabi-Yau triangulated categories and present their main properties. The notes start with the theory of F-polynomials of modules over finite-dimensional algebras. Cluster categories are then introduced, before the more general setting of 2-Calabi-Yau triangulated categories with cluster-tilting objects is defined. Finally, cluster characters are presented, and their use in the categorification of cluster algebras is outlined.
Keywords
Cite
@article{arxiv.1610.07546,
title = {Cluster characters},
author = {Pierre-Guy Plamondon},
journal= {arXiv preprint arXiv:1610.07546},
year = {2017}
}
Comments
22 pages. v2: Added references, section 3.1.2, and minor corrections. v3: minor corrections