32 citations · 174 across the 37 of their papers we have counts for
40 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…
Symmetric spaces, non-formal star products and Drinfel'd twists
Pierre Bieliavsky
These notes refer to a minicourse I gave at the occasion of the conference meeting ``Applications of Noncommutative Geometry to Gauge Theories, Field Theories, and Quantum Space-Ti…
Kinematical Lie algebras and symplectic symmetric spaces I: Lie algebraic aspects
Pierre Bieliavsky, Nicolas Boulanger
We generalize the notion of kinematical Lie algebra introduced in physics for the classification of the various possible relativity algebras an isotropic spacetime can accommodate.…
Symplectic structures preserved by geodesic symmetries
Pierre Bieliavsky, Maxime Willaert
Answering a conjecture by S. Kobayashi, in 1986, K. Sekigawa and L. Vanhecke proved that an almost hermitian manifold whose local geodesic symmetries preserve the Kähler 2-form is…
Aspects of Warped AdS geometries
Pierre Bieliavsky, Philippe Spindel, Raphaela Wutte
We discuss the geometry of three-dimensional warped Anti-de Sitter spaces and quotients thereof, paying special attention to their underlying group manifold nature. We perform a sy…
Quantization of locally compact groups associated with essentially bijective -cocycles
Pierre Bieliavsky, Victor Gayral, Sergey Neshveyev +1
Given an extension of locally compact groups, with abelian, and a compatible essentially bijective -cocycle , we define a dual uni…