Cluster algebras: notes for 2004 IMCC (Chonju, Korea, August 2004)

Details Cluster algebras: notes for 2004 IMCC (Chonju, Korea, August 2004) Cluster algebras: notes for 2004 IMCC (Chonju, Korea, August 2004)

2004-07-24

arxiv.org/abs/math/0407414v1

Mathematics

Representation Theory

14 pages

Scientific paper

This is an expanded version of the notes for the two lectures at the 2004 International Mathematics Conference (Chonbuk National University, August 4-6, 2004). The first lecture discusses the origins of cluster algebras, with the focus on total positivity and geometry of double Bruhat cells in semisimple groups. The second lecture introduces cluster algebras and discusses some basic results, open questions and conjectures.

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