Browsing ODA Open Digital Archive by Author "Tuset, Lars"
Now showing items 111 of 11

Addendum. On deformations of C*algebras by actions of Kahlerian Lie groups
Tuset, Lars; Bielavsky, Pierre; Gayral, Victor; Neshveyev, Sergey (International Journal of Mathematics;Vol. 30, No. 11, Journal article; Peer reviewed, 20190819)We show that two approaches to equivariant deformation of C∗algebras by actions of negatively curved K¨ahlerian Lie groups, one based on oscillatory integrals and the other on quantizations maps deﬁned by dual 2cocycles, ... 
Autoequivalences of the Tensor Category of U(q)gmodules
Neshveyev, Sergey; Tuset, Lars (International mathematics research notices;(15), Journal article; Peer reviewed, 2012) 
Deformation of C*algebras by cocycles on locally compact quantum groups
Tuset, Lars; Neshveyev, Sergey (Peer reviewed; Journal article, 20140115)Given a C ∗ algebra A with a left action of a locally compact quantum group G on it and a unitary 2cocycle Ω on ˆ G ,we define a deformation A Ω of A . The construction behaves well under certain ... 
The Dirac operator on compact quantum groups
Neshveyev, Sergey; Tuset, Lars (Journal für die reine und angewandte Mathematik;2010 (641), Journal article; Peer reviewed, 20100120)For the qdeformation Gq, 0 < q < 1, of any simply connected simple compact Lie group G we construct an equivariant spectral triple which is an isospectral deformation of that defined by the Dirac operator D on G. Our ... 
Notes on the KazhdanLusztig Theorem on Equivalence of the Drinfeld Category and the Category of U(q)gModules
Neshveyev, Sergey; Tuset, Lars (Algebras and Representation Theory;14 (5), Journal article; Peer reviewed, 2011) 
On deformations of C*algebras by actions of Kahlerian Lie groups
Tuset, Lars; Gayral, Victor; Bieliavsky, Pierre; Neshveyev, Sergey (Journal article; Peer reviewed, 2016)We show that two approaches to equivariant strict deformation quantization of C∗algebras by actions of negatively curved Kählerian Lie groups, one based on oscillatory integrals and the other on quantizations maps defined ... 
On second cohomology of duals of compact quantum groups
Tuset, Lars; Neshveyev, Sergey (International Journal of Mathematics;22 (9), Journal article; Peer reviewed, 201109)We show that for any compact connected group G the second cohomology group de ned by unitary invariant 2cocycles on ^G is canonically isomorphic to H2(\Z(G); T). This implies that the group of autoequivalences of the C ... 
On the moments of a polynomial in one variable
Mueger, Michael; Tuset, Lars (Indagationes Mathematicae;Volume 31, Issue 1, January 2020, Journal article; Peer reviewed, 20191210)Let f be a nonzero polynomial with complex coeﬃcients and deﬁne Mn(f) =R1 0 f(x)n dx. We use ideas of Duistermaat and van der Kallen to prove limsupn→∞ Mn(f)1/n > 0. In particular, Mn(f) 6= 0 for inﬁnitely many n ∈ N. 
Quantization of subgroups of the affine group
Tuset, Lars; Bieliavsky, Pierre; Gayral, Victor; Neshveyev, Sergey (Journal of Functional Analysis;Volume 280, Issue 4, 108844, Journal article; Peer reviewed, 20210215)Consider a locally compact group such that V is abelian and the action of Q on the dual abelian group has a free orbit of full measure. We show that such a group G can be quantized in three equivalent ways: (1) by ... 
Quantized Algebras of Functions on Homogeneous Spaces with Poisson Stabilizers
Neshveyev, Sergey; Tuset, Lars (Journal article; Peer reviewed, 20120301)Let G be a simply connected semisimple compact Lie group with standard Poisson structure, K a closed PoissonLie subgroup, 0 < q < 1. We study a quantization C(G q /K q ) of the algebra of continuous functions on G/K. Using ... 
Ribbon braided module categories, quantum symmetric pairs and KnizhnikZamolodchikov equations
De Commer, Kenny; Neshveyev, Sergey; Tuset, Lars; Yamashita, Makoto (Communications in Mathematical Physics;May 2019, Volume 367, Issue 3, Journal article; Peer reviewed, 20181106)Let u be a compact semisimple Lie algebra, and σ be a Lie algebra involution of u. Let Repq(u) be the ribbon braided tensor C∗category of admissible Uq(u)representations for 0 < q < 1. We introduce three module C∗categories ...