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Quantum deformations of (anti-)de Sitter algebras in (2+1) dimensions arerevisited, and several features of these quantum structures are reviewed. Inparticular, the classification problem of (2+1) (A)dS Lie bialgebras ispresented and the associated noncommutative quantum (A)dS spaces are alsoanalysed. Moreover, the flat limit (or vanishing cosmological constant) of allthese structures leading to (2+1) quantum Poincar\'e algebras and groups issimultaneously given by considering the cosmological constant as an explicitLie algebra parameter in the (A)dS algebras. By making use of thisclassification, a three-parameter generalization of the \kappa-deformation forthe (2+1) (A)dS algebras and quantum spacetimes is given. Finally, the sameproblem is studied in (3+1) dimensions, where a two-parameter generalization ofthe \kappa-(A)dS deformation that preserves the space isotropy is found.

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