The κ-(A)dS quantum algebra in (3 + 1) dimensions

  title={The $\kappa$-(A)dS quantum algebra in (3 + 1) dimensions},
  author={{\'A}ngel Ballesteros and Francisco Jose Herranz and Fabio Musso and Pedro Naranjo},
  journal={Physics Letters B},

The κ-(A)dS noncommutative spacetime

Noncommutative (A)dS and Minkowski spacetimes from quantum Lorentz subgroups

The complete classification of classical r-matrices generating quantum deformations of the (3 + 1)-dimensional (A)dS and Poincaré groups such that their Lorentz sector is a quantum subgroup is

M ay 2 01 9 The κ-( A ) dS noncommutative spacetime

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The Poincaré group as a Drinfel’d double

The eight nonisomorphic Drinfel’d double (DD) structures for the Poincaré Lie group in (2  +  1) dimensions are explicitly constructed in the kinematical basis. Also, the two existing DD structures

Noncommutative spaces of worldlines



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Quantum deformations of (anti-)de Sitter (A)dS algebras in (2+1) dimensions are revisited, and several features of these quantum structures are reviewed. In particular, the classification problem of

Quantum (2+1) kinematical algebras: a global approach

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