Quiver representations and cluster algebras #2
Presenter
August 29, 2012
Keywords:
- commutative algebra
- cluster algebra
- algebraic combinatorics
- quiver representations
- Caldero-Chapoton algebra
MSC:
- 13F60
- 13Fxx
- 13-xx
- 05-xx
- 13C60
- 18Dxx
Abstract
In these lectures, we will give an introduction to representations of quivers and show how they can be used in the study of cluster algebras. A central role will be played by the Caldero-Chapoton map, which takes a quiver representation to an element of the (upper) cluster algebra. We will study this map in various settings: module categories, cluster categories and decorated representations of Jacobi algebras.