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Root systems and generalized associahedra

Sergey Fomin·Nathan Reading
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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.

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Sergey Fomin, Nathan Reading. 2008-10-06. Root systems and generalized associahedra. https://arxiv.org/abs/math/0505518

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