11 citations · 47 across the 7 of their papers we have counts for
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math.RT2003★ 1 cited
Cluster algebras: Notes for the CDM-03 conference
Sergey Fomin, Andrei Zelevinsky
This is an expanded version of the notes of our lectures given at the conference "Current Developments in Mathematics 2003" held at Harvard University on November 21--22, 2003. We…
math.RT2003★ 8 cited
Positivity and canonical bases in rank 2 cluster algebras of finite and affine types
Paul Sherman, Andrei Zelevinsky
The main motivation for the study of cluster algebras initiated in math.RT/0104151, math.RA/0208229 and math.RT/0305434 was to design an algebraic framework for understanding total…
math.RT2003★ 7 cited
Cluster algebras III: Upper bounds and double Bruhat cells
Arkady Berenstein, Sergey Fomin, Andrei Zelevinsky
We continue the study of cluster algebras initiated in math.RT/0104151 and math.RA/0208229. We develop a new approach based on the notion of an upper cluster algebra, defined as an…