Root systems and generalized associahedra
Abstract
These lecture notes for the IAS/Park City Graduate Summer School in Geometric Combinatorics (July 2004) provide an overview of root systems, generalized associahedra, and the combinatorics of clusters. Lectures 1-2 cover classical material: root systems, finite reflection groups, and the Cartan-Killing classification. Lectures 3-4 provide an introduction to cluster algebras from a combinatorial perspective. Lecture 5 is devoted to related topics in enumerative combinatorics.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- May 2005
- DOI:
- arXiv:
- arXiv:math/0505518
- Bibcode:
- 2005math......5518F
- Keywords:
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- Mathematics - Combinatorics;
- Mathematics - Rings and Algebras;
- Mathematics - Representation Theory;
- 20F55
- E-Print:
- 69 pages, many figures. Version 3 is the final version appearing in the PCMI Lecture Series volume.