Root systems and generalized associahedra

Details Root systems and generalized associahedra Root systems and generalized associahedra

2005-05-24

arxiv.org/abs/math/0505518v3

Geometric combinatorics, 63-131, IAS/Park City Math. Ser., 13, Amer. Math. Soc., Providence, RI, 2007

Mathematics

Combinatorics

69 pages, many figures. Version 3 is the final version appearing in the PCMI Lecture Series volume.

Scientific paper

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.

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