Sergey Fomin
- Cluster algebras I: Foundations
2001/04/13 by Sergey Fomin, Andrei Zelevinsky, Fomin, Sergey +1 · 46 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 · 45 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 · 26 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, Sergey Fomin, Berenstein, Arkady +3 · 14 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #math.AC #math.AG #math.RT
- 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 · 6 citations
Mathematics · #Advanced Combinatorial Mathematics #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra
- Double Bruhat cells and total positivity
1998/02/11 by Sergey Fomin, Fomin, Sergey, Andrei Zelevinsky +1 · 3 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
- Introduction to Cluster Algebras. Chapters 1-3
2016/08/19 by Sergey Fomin, Fomin, Sergey, Lauren Williams +3 · 4 citations
Mathematics · Physics and Astronomy · #13F60 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT) #Rings and Algebras (math.RA)
- 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
- Yang-Baxter equation, symmetric functions and Grothendieck polynomials
1993/06/01 by Sergey Fomin, Fomin, Sergey, Anatol N. Kirillov +1 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #Quantum Algebra (math.QA)
- Loop-erased walks and total positivity
2000/04/12 by Sergey Fomin, Fomin, Sergey · 1 citation
Mathematics · #15A48 (Primary) 05C50 #31C20 #60J65 (Secondary} #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Combinatorics (math.CO) #FOS: Mathematics #Mathematical Dynamics and Fractals #Probability (math.PR) #Rings and Algebras (math.RA) #math.CO #math.PR #math.RA #msc:05C50 #msc:15A48 #msc:31C20 #msc:60J65
- Eigenvalues, singular values, and Littlewood-Richardson coefficients
2003/01/26 by Sergey Fomin, William Fulton, Fomin, Sergey +5 · 1 citation
Mathematics · #05E15 #14M15 #15A18 #15A42 #Algebraic Geometry (math.AG) #FOS: Mathematics #Rings and Algebras (math.RA) #math.AG #math.RA #msc:05E15 #msc:14M15 #msc:15A18 #msc:15A42
- 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
- Incidences and tilings
2023/05/12 by Sergey Fomin, Fomin, Sergey, Pavlo Pylyavskyy +1 · 3 citations
Engineering · Mathematics · #05E14 #14N20 #51A20 #51M15 #Advanced Materials and Mechanics #Combinatorics (math.CO) #FOS: Mathematics #Mathematics and Applications #Metric Geometry (math.MG) #graph theory and CDMA systems
- 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