%0 Journal Article
%T Snyder Space-Time: K-Loop and Lie Triple System
%A Florian Girelli
%J Symmetry, Integrability and Geometry : Methods and Applications
%D 2010
%I National Academy of Science of Ukraine
%X Different deformations of the Poincar¨¦ symmetries have been identified for various non-commutative spaces (e.g. ¦Ê-Minkowski, sl(2,R), Moyal). We present here the deformation of the Poincar¨¦ symmetries related to Snyder space-time. The notions of smooth ''K-loop'', a non-associative generalization of Abelian Lie groups, and its infinitesimal counterpart given by the Lie triple system are the key objects in the construction.
%K Snyder space-time
%K quantum group
%U http://dx.doi.org/10.3842/SIGMA.2010.074