vix.ing · top · new · best · stats · spec

Fomin, Sergey

  1. Cluster algebras I: Foundations
    2001/04/13 by Sergey Fomin, Andrei Zelevinsky, Fomin, Sergey +1 · 41 citations
    Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #math.AG #math.QA #math.RT
  2. 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
  3. Cluster algebras III: Upper bounds and double Bruhat cells
    2003/05/30 by Arkady Berenstein, Berenstein, Arkady, Sergey Fomin +3 · 14 citations
    Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #math.AC #math.AG #math.RT
  4. 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
  5. 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
  6. Tensor diagrams and cluster algebras
    2012/10/05 by Fomin, Sergey, Pylyavskyy, Pavlo · 4 citations
    #05E99 #13A50 #13F60 #15A72 #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)
  7. Double Bruhat cells and total positivity
    1998/02/11 by Sergey Fomin, Andrei Zelevinsky, Fomin, Sergey +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
  8. 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)
  9. 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
  10. 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
  11. 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)
  12. Total positivity and cluster algebras
    2010/05/06 by Fomin, Sergey · 2 citations
    #13F60 #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)
  13. Heronian friezes
    2019/09/03 by Fomin, Sergey, Setiabrata, Linus · 2 citations
    #13F60 #51K99 #52C25 #Combinatorics (math.CO) #FOS: Mathematics #Metric Geometry (math.MG)
  14. Combinatorial Bn-analogues of Schubert polynomials
    1993/06/11 by Fomin, Sergey, Kirillov, Anatol N. · 1 citation
    #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th)
  15. 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
  16. 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
  17. 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
  18. Subtraction-free complexity, cluster transformations, and spanning trees
    2013/07/31 by Fomin, Sergey, Grigoriev, Dima, Koshevoy, Gleb · 1 citation
    #05E05 #13F60 #68Q25 #Combinatorics (math.CO) #Computational Complexity (cs.CC) #FOS: Computer and information sciences #FOS: Mathematics
  19. Noncommutative Schur functions, switchboards, and Schur positivity
    2015/10/02 by Blasiak, Jonah, Fomin, Sergey · 1 citation
    #05A15 #05E05 (Primary) #16S99 (Secondary) #Combinatorics (math.CO) #FOS: Mathematics #Rings and Algebras (math.RA)
  20. 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