559 citations · 1k across the 44 of their papers we have counts for
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math.CO2004★ 74 cited
Cluster algebras of finite type and positive symmetrizable matrices
Michael Barot, Christof Geiss, Andrei Zelevinsky
The paper is motivated by an analogy between cluster algebras and Kac-Moody algebras: both theories share the same classification of finite type objects by familiar Cartan-Killing…
math.RT2004★ 10 cited
Cluster algebras: notes for 2004 IMCC (Chonju, Korea, August 2004)
Andrei Zelevinsky
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 di…
math.QA2004★ 5 cited
Quantum cluster algebras
Arkady Berenstein, Andrei Zelevinsky
Cluster algebras were introduced by S. Fomin and A. Zelevinsky in math.RT/0104151; their study continued in math.RA/0208229, math.RT/0305434. This is a family of commutative rings…