Publications (38)
Quivers with potentials and their representations II: Applications to cluster algebras
Harm Derksen, Jerzy Weyman, Andrei Zelevinsky
Positivity and canonical bases in rank 2 cluster algebras of finite and affine types
Paul Sherman, Andrei Zelevinsky
Quiver Grassmannians and their Euler characteristics: Oberwolfach talk, May 2010
Andrei Zelevinsky
Simply-laced Coxeter groups and groups generated by symplectic transvections
Boris Shapiro, Michael Shapiro, Alek Vainshtein +1
Nested complexes and their polyhedral realizations
Andrei Zelevinsky
Multiple Flag Varieties of Finite Type
Peter Magyar, Jerzy Weyman, Andrei Zelevinsky
Cluster algebras: notes for 2004 IMCC (Chonju, Korea, August 2004)
Andrei Zelevinsky
Quantum cluster algebras
Arkady Berenstein, Andrei Zelevinsky
Quantum cluster algebras: Oberwolfach talk, February 2005
Andrei Zelevinsky
Recognizing Schubert cells
Sergey Fomin, Andrei Zelevinsky
Polyhedral Realizations of Crystal Bases for Quantized Kac-Moody Algebras
Toshiki Nakashima, Andrei Zelevinsky
Laurent expansions in cluster algebras via quiver representations
Philippe Caldero, Andrei Zelevinsky
Cluster algebras II: Finite type classification
Sergey Fomin, Andrei Zelevinsky
Quivers with potentials and their representations I: Mutations
Harm Derksen, Jerzy Weyman, Andrei Zelevinsky
Connected components of real double Bruhat cells
Andrei Zelevinsky
From Littlewood-Richardson coefficients to cluster algebras in three lectures
Andrei Zelevinsky
Littlewood-Richardson semigroups
Andrei Zelevinsky
Semicanonical basis generators of the cluster algebra of type $A_1^{(1)}$
Andrei Zelevinsky
On tropical dualities in cluster algebras
Tomoki Nakanishi, Andrei Zelevinsky
Mutations for quivers with potentials: Oberwolfach talk, April 2007
Andrei Zelevinsky
Double Bruhat cells and total positivity
Sergey Fomin, Andrei Zelevinsky
Triangular bases in quantum cluster algebras
Arkady Berenstein, Andrei Zelevinsky
Cluster algebras: Notes for the CDM-03 conference
Sergey Fomin, Andrei Zelevinsky
Cluster algebras III: Upper bounds and double Bruhat cells
Arkady Berenstein, Sergey Fomin, Andrei Zelevinsky
Cluster algebras IV: Coefficients
Sergey Fomin, Andrei Zelevinsky
Cluster algebras of finite type via Coxeter elements and principal minors
Shih-Wei Yang, Andrei Zelevinsky
Polytopal realizations of generalized associahedra
Frederic Chapoton, Sergey Fomin, Andrei Zelevinsky
Total positivity: tests and parametrizations
Sergey Fomin, Andrei Zelevinsky
Greedy bases in rank 2 quantum cluster algebras
Kyungyong Lee, Li Li, Dylan Rupel +1
On symplectic leaves and integrable systems in standard complex semisimple Poisson-Lie groups
Mikhail Kogan, Andrei Zelevinsky
Y-systems and generalized associahedra
Sergey Fomin, Andrei Zelevinsky
Tensor product multiplicities, canonical bases and totally positive varieties
Arkady Berenstein, Andrei Zelevinsky
Strongly primitive species with potentials I: Mutations
Daniel Labardini-Fragoso, Andrei Zelevinsky
Totally nonnegative and oscillatory elements in semisimple groups
Sergey Fomin, Andrei Zelevinsky
Cluster algebras of finite type and positive symmetrizable matrices
Michael Barot, Christof Geiss, Andrei Zelevinsky
Cluster algebras I: Foundations
Sergey Fomin, Andrei Zelevinsky
The existence of greedy bases in rank 2 quantum cluster algebras
Kyungyong Lee, Li Li, Dylan Rupel +1
Symplectic multiple flag varieties of finite type
Peter Magyar, Jerzy Weyman, Andrei Zelevinsky