Root systems and generalized associahedra

Preprint

6 October 2008

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/0505518

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.

Keywords

GENERALIZED ASSOCIAHEDRA
CLASSIFICATION
CITY GRADUATE
IAS/PARK CITY
LECTURE NOTES
COMBINATORICS
ROOT SYSTEMS
LECTURES
ALGEBRAS

All Related Versions

Version 1, 2005-05-24, ArXiv
Version 2, 2005-05-31, ArXiv
Version 3, 2008-10-06, ArXiv
Version 1, 2001-11-06, ArXiv (Unconfirmed version)

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