11 citations · 47 across the 7 of their papers we have counts for
20 papers
Nested complexes and their polyhedral realizations
Andrei Zelevinsky
This note which can be viewed as a complement to Alex Postnikov's paper math.CO/0507163, presents a self-contained overview of basic properties of nested complexes and their two du…
Quantum cluster algebras: Oberwolfach talk, February 2005
Andrei Zelevinsky
This is an extended abstract of my talk at the Oberwolfach-Workshop "Representation Theory of Finite-Dimensional Algebras" (February 6 - 12, 2005). It gives self-contained and simp…
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…
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…
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…
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…