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Ostrik, Victor

  1. The Witt group of non-degenerate braided fusion categories
    2010/09/10 by Davydov, Alexei, Mueger, Michael, Nikshych, Dmitri +1 · 19 citations
    #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)
  2. Fusion categories and homotopy theory
    2009/09/17 by Etingof, Pavel, Nikshych, Dmitri, Ostrik, Victor +1 · 15 citations
    #Algebraic Topology (math.AT) #FOS: Mathematics #Quantum Algebra (math.QA)
  3. On braided fusion categories I
    2009/06/02 by Drinfeld, Vladimir, Gelaki, Shlomo, Nikshych, Dmitri +1 · 14 citations
    #16W30 #18D10 #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)
  4. Weakly group-theoretical and solvable fusion categories
    2008/09/17 by Pavel Etingof, Dmitri Nikshych, Etingof, Pavel +3 · 8 citations
    Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA)
  5. New incompressible symmetric tensor categories in positive characteristic
    2020/03/23 by Dave Benson, Benson, Dave, Pavel Etingof +3 · 8 citations
    Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Category Theory (math.CT) #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)
  6. On tensor categories attached to cells in affine Weyl groups, III
    2006/05/23 by Roman Bezrukavnikov, Michael Finkelberg, Bezrukavnikov, Roman +3 · 3 citations
    Mathematics · Medicine · #Advanced Algebra and Geometry #Advanced Neuroimaging Techniques and Applications #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT)
  7. On symmetric fusion categories in positive characteristic
    2015/03/04 by Ostrik, Victor · 3 citations
    #Category Theory (math.CT) #FOS: Mathematics #Quantum Algebra (math.QA)
  8. On Frobenius exact symmetric tensor categories
    2021/07/06 by Kevin Coulembier, Pavel Etingof, Coulembier, Kevin +3 · 7 citations
    Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)
  9. On semisimplification of tensor categories
    2018/01/13 by Etingof, Pavel, Ostrik, Victor · 4 citations
    #FOS: Mathematics #Representation Theory (math.RT)
  10. On formal codegrees of fusion categories
    2008/10/17 by Victor Ostrik, Ostrik, Victor · 2 citations
    Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA)
  11. Character D-modules via Drinfeld center of Harish-Chandra bimodules
    2009/02/09 by Bezrukavnikov, Roman, Finkelberg, Michael, Ostrik, Victor · 2 citations
    #Algebraic Geometry (math.AG) #FOS: Mathematics #Representation Theory (math.RT)
  12. Asymptotic properties of tensor powers in symmetric tensor categories
    2023/01/24 by Kevin Coulembier, Coulembier, Kevin, Pavel Etingof +3 · 5 citations
    Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Category Theory (math.CT) #FOS: Mathematics #Representation Theory (math.RT)
  13. Remarks on global dimensions of fusion categories
    2018/04/23 by Ostrik, Victor · 2 citations
    #FOS: Mathematics #Quantum Algebra (math.QA)
  14. On the Frobenius functor for symmetric tensor categories in positive\n characteristic
    2019/12/30 by Pavel Etingof, Victor Ostrik, Etingof, Pavel +1 · 2 citations
    Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #Representation Theory (math.RT)
  15. Fractal behavior of tensor powers of the two dimensional space in prime characteristic
    2024/05/27 by Coulembier, Kevin, Etingof, Pavel, Ostrik, Victor +1 · 5 citations
    #18M05 #26A12 #30B30 #Category Theory (math.CT) #FOS: Mathematics #Primary: 11N45 #Representation Theory (math.RT) #Rings and Algebras (math.RA) #Secondary: 11B85
  16. Quiver varieties and Lusztig's algebra
    2004/03/13 by Anton Malkin, Victor Ostrik, Malkin, Anton +3 · 1 citation
    Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #Representation Theory (math.RT) #math.AG #math.RT
  17. Module categories over representations of SLq(2) in the non-semisimple case
    2005/09/22 by Ostrik, Victor · 1 citation
    #Category Theory (math.CT) #FOS: Mathematics #Quantum Algebra (math.QA)
  18. Group-theoretical properties of nilpotent modular categories
    2007/04/02 by Drinfeld, Vladimir, Gelaki, Shlomo, Nikshych, Dmitri +1 · 1 citation
    #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)
  19. Super invariant theory in positive characteristic
    2022/11/22 by Coulembier, Kevin, Etingof, Pavel, Kleshchev, Alexander +1 · 3 citations
    #FOS: Mathematics #Representation Theory (math.RT)
  20. Tensor categories attached to exceptional cells in Weyl groups
    2011/08/15 by Ostrik, Victor · 1 citation
    #FOS: Mathematics #Representation Theory (math.RT)
  21. Tensor categories (after P. Deligne)
    2004/01/25 by Victor Ostrik, Ostrik, Victor · 1 citation
    Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #math.CT #math.RT
  22. Two-dimensional topological theories, rational functions and their tensor envelopes
    2020/11/30 by Khovanov, Mikhail, Ostrik, Victor, Kononov, Yakov · 1 citation
    #05A18 #17B10 #18M10 #18M25 #57R56 #81R05 #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)
  23. Monoidal Abelian Envelopes with a quotient property
    2021/02/27 by Kevin Coulembier, Coulembier, Kevin, Pavel Etingof +5 · 1 citation
    Mathematics · Medicine · #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Neuroblastoma Research and Treatments #Representation Theory (math.RT)
  24. Incompressible tensor categories
    2023/06/16 by Kevin Coulembier, Pavel Etingof, Coulembier, Kevin +3 · 3 citations
    Mathematics · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT)