Andrei Zelevinsky
- Cluster algebras I: Foundations
2001/04/13 by Sergey Fomin, Andrei Zelevinsky, Fomin, Sergey +1 · 40 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #math.AG #math.QA #math.RT
- Cluster algebras IV: Coefficients
2007/01/01 by Sergey Fomin, Andrei Zelevinsky · 41 citations
Mathematics · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Advanced Combinatorial Mathematics
- Cluster algebras IV: Coefficients
2006/02/12 by Sergey Fomin, Andrei Zelevinsky, Fomin, Sergey +1 · 25 citations
Mathematics · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Advanced Combinatorial Mathematics
- Cluster algebras III: Upper bounds and double Bruhat cells
2003/05/30 by Arkady Berenstein, Berenstein, Arkady, Sergey Fomin +3 · 12 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #math.AC #math.AG #math.RT
- Quivers with potentials and their representations I: Mutations
2008/06/03 by Harm Derksen, Jerzy Weyman, Andrei Zelevinsky · 11 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons
- Maximal Minors and Their Leading Terms
1993/03/01 by Bernd Sturmfels, B. Sturmfels, A. Zelevinsky +1 · 8 citations
Arts and Humanities · Mathematics · #Linguistics and Cultural Studies #Mathematics and Applications
- Quivers with potentials and their representations I: Mutations
2007/04/04 by Harm Derksen, Derksen, Harm, Jerzy Weyman +3 · 8 citations
Mathematics · Physics and Astronomy · #16G10 (Primary) #16G20 #16S38 (Secondary) #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT) #Rings and Algebras (math.RA)
- Quantum cluster algebras
2004/04/24 by Arkady Berenstein, Andrei Zelevinsky, Berenstein, Arkady +1 · 7 citations
Mathematics · Physics and Astronomy · #14M17 #20G42 #22E46 #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.AG #math.QA #math.RT #msc:14M17 #msc:20G42 #msc:22E46
- Y-systems and generalized associahedra
2001/11/06 by Sergey Fomin, Fomin, Sergey, Andrei Zelevinsky +1 · 6 citations
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #hep-th #math-ph #math.CO #math.MP
- The Laurent phenomenon
2001/04/25 by Sergey Fomin, Fomin, Sergey, Andrei Zelevinsky +1 · 5 citations
Mathematics · #Advanced Combinatorial Mathematics #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra
- Tensor product multiplicities, canonical bases and totally positive varieties
1999/12/02 by Arkady Berenstein, Andrei Zelevinsky, Berenstein, Arkady +1 · 3 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #math.AG #math.CO #math.QA #math.RT
- Double Bruhat cells and total positivity
1998/02/11 by Sergey Fomin, Fomin, Sergey, Andrei Zelevinsky +1 · 2 citations
Mathematics · #05E15 #15A23 #22E46 #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.AG #math.CO #math.QA #math.RT #msc:05E15 #msc:15A23 #msc:22E46
- Total positivity: tests and parametrizations
1999/12/15 by Sergey Fomin, Andrei Zelevinsky, Fomin, Sergey +1 · 2 citations
Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.CO #math.RA #math.RT
- Polytopal realizations of generalized associahedra
2002/02/01 by Frederic Chapoton, Sergey Fomin, Chapoton, Frederic +3 · 2 citations
Mathematics · #05E15 #Combinatorics (math.CO) #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.CO #math.QA #math.RT #msc:05E15
- Generalized associahedra via quiver representations
2002/05/14 by Bethany Marsh, Marsh, Bethany, Markus Reineke +3 · 2 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT)
- Greedy elements in rank 2 cluster algebras
2012/12/16 by Kyungyong Lee, Li Li, Andrei Zelevinsky · 2 citations
- Combinatorics of Maximal Minors
1993/06/01 by David B. Bernstein, David Bernstein, Andrei Zelevinsky · 1 citation
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Commutative Algebra and Its Applications #Polynomial and algebraic computation
- Multiple Flag Varieties of Finite Type
1998/05/14 by Péter Magyar, Magyar, Peter, Jerzy Weyman +3 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics
- Positivity and canonical bases in rank 2 cluster algebras of finite and affine types
2003/07/07 by Paul Sherman, Sherman, Paul, Andrei Zelevinsky +1 · 1 citation
Mathematics · #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #Representation Theory (math.RT) #math.AC #math.AG #math.RT
- Cluster algebras: Notes for the CDM-03 conference
2003/11/26 by Sergey Fomin, Andrei Zelevinsky, Fomin, Sergey +1 · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #math.AG #math.CO #math.RT
- Triangular bases in quantum cluster algebras
2012/06/15 by Arkady Berenstein, Andrei Zelevinsky, Berenstein, Arkady +1 · 1 citation
Mathematics · Physics and Astronomy · #13F60 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Rings and Algebras (math.RA)
- Introduction to Cluster Algebras. Chapter 7
2021/06/03 by Sergey Fomin, Lauren Williams, Fomin, Sergey +3 · 1 citation
Materials Science · #13F60 #Combinatorics (math.CO) #FOS: Mathematics #Nanocluster Synthesis and Applications
- Laurent expansions in cluster algebras via quiver representations
2006/04/04 by Philippe Caldero, Caldero, Philippe, Andrei Zelevinsky +1 · 3 citations
Mathematics · #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT)