Now showing items 1-7 of 7

  • Neshveyev, Sergey; Yamashita, Makoto (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2018)
    We prove two results on the tube algebras of rigid C*-tensor categories. The first is that the tube algebra of the representation category of a compact quantum group G is a full corner of the Drinfeld double of G. As an ...
  • Neshveyev, Sergey; Yamashita, Makoto (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2018)
  • Neshveyev, Sergey; Yamashita, Makoto (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2016)
    We classify up to isomorphism all non-Kac compact quantum groups with the same fusion rules and dimension function as SU(n). For this we first prove, using categorical Poisson boundary, the following general result. Let G ...
  • Neshveyev, Sergey; Yamashita, Makoto (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2016)
    Motivated by the relation between the Drinfeld double and central property (T) for quantum groups, given a rigid C*-tensor category C and a unitary half-braiding on an ind-object, we construct a *-representation of the ...
  • Bichon, Julien; Neshveyev, Sergey; Yamashita, Makoto (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2016)
    Given a Hopf algebra A graded by a discrete group together with an action of the same group preserving the grading, we define a new Hopf algebra, which we call the graded twisting of A. If the action is by adjoint maps, ...
  • Bichon, Julien; Neshveyev, Sergey; Yamashita, Makoto (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2018)
    Continuing our previous work on graded twisting of Hopf algebras and monoidal categories, we introduce a graded twisting construction for equivariant comodule algebras and module categories. As an example we study actions ...
  • Neshveyev, Sergey; Yamashita, Makoto (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2017)
    Given a rigid C∗ -tensor category C with simple unit and a probability measure µ on the set of isomorphism classes of its simple objects, we define the Poisson boundary of (C, µ). This is a new C∗ -tensor category P, ...