Davydov, Alexei

1. The Witt group of non-degenerate braided fusion categories
   2010/09/10 by Davydov, Alexei, Mueger, Michael, Nikshych, Dmitri +1 · 10 citations
   #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)
2. Braided Picard groups and graded extensions of braided tensor categories
   2020/06/14 by Davydov, Alexei, Nikshych, Dmitri · 5 citations
   #Category Theory (math.CT) #FOS: Mathematics #Quantum Algebra (math.QA)
3. Modular invariants for group-theoretical modular data. I
   2009/08/07 by Alexei Davydov, Davydov, Alexei · 2 citations
   Mathematics · #18D10 #18D35 #81R50 #81T40 #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Quantum Algebra (math.QA)
4. Commutative Algebras in Fibonacci Categories
   2011/03/17 by Davydov, Alexei, Booker, Tom · 2 citations
   #18-02 #Category Theory (math.CT) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Representation Theory (math.RT)
5. On Lagrangian algebras in group-theoretical braided fusion categories
   2016/03/15 by Davydov, Alexei, Simmons, Darren · 2 citations
   #FOS: Mathematics #Quantum Algebra (math.QA)
6. Twisted automorphisms of group algebras
   2007/08/21 by Davydov, Alexei · 1 citation
   #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)
7. Twisted automorphisms of Hopf algebras
   2007/08/21 by Alexei Davydov, Davydov, Alexei · 1 citation
   Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA)
8. Nuclei of categories with tensor products
   2007/08/21 by Davydov, Alexei · 1 citation
   #Category Theory (math.CT) #FOS: Mathematics
9. Field theories with defects and the centre functor
   2011/07/03 by Alexei Davydov, Davydov, Alexei, Liang Kong +3 · 1 citation
   Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA)
10. An alternative description of braided monoidal categories
    2013/07/23 by Davydov, Alexei, Runkel, Ingo · 1 citation
    #Category Theory (math.CT) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA)
11. The Picard crossed module of a braided tensor category
    2012/02/01 by Davydov, Alexei, Nikshych, Dmitri · 1 citation
    #Category Theory (math.CT) #FOS: Mathematics #Quantum Algebra (math.QA)