98 citations · 717 across the 39 of their papers we have counts for
9 papers · 1 filter
AdS Poisson homogeneous spaces and Drinfel'd doubles
Angel Ballesteros, Catherine Meusburger, Pedro Naranjo
The correspondence between Poisson homogeneous spaces over a Poisson-Lie group and Lagrangian Lie subalgebras of the classical double is revisited and explor…
Twisted (2+1) -AdS Algebra, Drinfel'd Doubles and Non-Commutative Spacetimes
Ángel Ballesteros, Francisco J. Herranz, Catherine Meusburger +1
We construct the full quantum algebra, the corresponding Poisson-Lie structure and the associated quantum spacetime for a family of quantum deformations of the isometry algebras of…
Generalised shear coordinates on the moduli spaces of three-dimensional spacetimes
Catherine Meusburger, Carlos Scarinci
We introduce coordinates on the moduli spaces of maximal globally hyperbolic constant curvature 3d spacetimes with cusped Cauchy surfaces S. They are derived from the parametrisati…
A (2+1) non-commutative Drinfel'd double spacetime with cosmological constant
Angel Ballesteros, Francisco J. Herranz, Catherine Meusburger
We show that the Drinfel'd double associated to the standard quantum deformation is isomorphic to the (2+1)-dimensional AdS algebra with the initial deformation paramet…
Drinfel'd doubles for (2+1)-gravity
Angel Ballesteros, Francisco J. Herranz, Catherine Meusburger
All possible Drinfel'd double structures for the anti-de Sitter Lie algebra so(2,2) and de Sitter Lie algebra so(3,1) in (2+1)-dimensions are explicitly constructed and analysed in…
Crochets de Poisson, theories de jauge et quantification
Winston J. Fairbairn, Catherine Meusburger
We present a study of constrained mechanical systems and of their quantisation, emphasising the importance of the role played by Poisson brackets in the study of gauge theories.