Browsing Matematisk institutt by Author "Neshveyev, Sergey"
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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 ...

Tuset, Lars; Bielavsky, Pierre; Gayral, Victor; Neshveyev, Sergey (Journal article / Tidsskriftartikkel / SubmittedVersion, 2019)We show that two approaches to equivariant deformation of C[Formula: see text]algebras by actions of negatively curved Kählerian Lie groups, one based on oscillatory integrals and the other on quantizations maps defined ...

Neshveyev, Sergey; Laca, Marcelo; Trifkovic, Mak (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2013)J. Noncommut. Geom. 7 (2013), 525–546 Copyright 2013 European Mathematical Society.

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 nonKac 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 (Conference object / Konferansebidrag, 2013)Joint International Meeting of the AMS and the Romanian Mathematical Society, Alba Iulia, 2013062720130630.

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 halfbraiding on an indobject, we construct a *representation of the ...

Neshveyev, Sergey; Størmer, Erling (Research report / Forskningsrapport, 2000)

Neshveyev, Sergey; Størmer, Erling (Research report / Forskningsrapport, 2001)

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 ...

Larsen, Nadia S.; Laca, Marcelo; Neshveyev, Sergey (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2018)

Neshveyev, Sergey; Malacarne, Sara (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2019)Given a free unitary quantum group G = Au(F), with F not a unitary 2by2 matrix, we show that the Martin boundary of the dual of G with respect to any GGˆinvariant, irreducible, finite range quantum random walk coincides ...

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, ...

Malacarne, Sara; Neshveyev, Sergey (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2017)Given a discrete quantum group H with a finite normal quantum subgroup G, we show that any positive, possibly unbounded, harmonic function on H with respect to an irreducible invariant random walk is Ginvariant. This ...

Tuset, Lars; Bieliavsky, Pierre; Gayral, Victor; Neshveyev, Sergey (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2021)108844

Neshveyev, Sergey; De Commer, Kenny (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2015)The final publication is available at Springer via http://dx.doi.org/10.1007/s000310159324y

Etingof, Pavel; Neshveyev, Sergey (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2019)We develop a method to give presentations of quantized function algebras of complex reductive groups. In particular, we give presentations of quantized function algebras of automorphism groups of finite dimensional simple ...

De Commer, Kenny; Neshveyev, Sergey; Tuset, Lars; Yamashita, Makoto (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2019)

Neshveyev, Sergey (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2014)Assume A is a Fréchet algebra equipped with a smooth isometric action of a vector group V, and consider Rieffel’s deformation AJ of A . We construct an explicit isomorphism between the smooth crossed products V⋉AJ and V⋉A ...