4 papers
Kohn--Nirenberg quantization of the affine group and related examples
Pierre Bieliavsky, Victor Gayral, Sergey Neshveyev +1
We show how to construct unitary dual -cocycles for a class of semidirect products that exhibit many similarities with the affine group ${\rm Aff}(V)=\GL(V)\ltimes V$ of a finit…
An integral formula for Lie groups, and the Mathieu conjecture reduced to Abelian non-Lie conjectures
Michael Müger, Lars Tuset
We present an explicit integration formula for the Haar integral on a compact connected Lie group. This formula relies on a known decomposition of a compact connected simple Lie gr…
Comparison of quantizations of symmetric spaces: cyclotomic Knizhnik-Zamolodchikov equations and Letzter-Kolb coideals
Kenny De Commer, Sergey Neshveyev, Lars Tuset +1
We establish an equivalence between two approaches to quantization of irreducible symmetric spaces of compact type within the framework of quasi-coactions, one based on the Enrique…
Quantization of subgroups of the affine group
Pierre Bieliavsky, Victor Gayral, Sergey Neshveyev +1
Consider a locally compact group such that is abelian and the action of on the dual abelian group has a free orbit of full measure. We show that suc…