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gr-qc2014★ 5 cited
From Lorentzian to Galilean (2+1) gravity: Drinfel'd doubles, quantisation and noncommutative spacetimes
Angel Ballesteros, Francisco J. Herranz, Pedro Naranjo
It is shown that the canonical classical -matrix arising from the Drinfel'd double structure underlying the two-fold centrally extended (2+1) Galilean and Newton-Hooke Lie algeb…
math-ph2014★ 16 cited
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…