On quantum deformations of (anti-)de Sitter algebras in (2+1) dimensions

In this paper (arXiv:1302.0684) the quantum deformations of (anti-)de Sitter  (A)dS algebras in (2+1) dimensions are revisited. In particular, the classification problem of (2+1) (A)dS Lie bialgebras is presented and the associated noncommutative quantum (A)dS spaces are also analysed. Moreover, the flat limit (or vanishing cosmological constant) of all these structures leading to (2+1) quantum Poincaré algebras is studied. Some results on the analogous (3+1) problem are sketched.

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