Noncommutative space-time models

  title={Noncommutative space-time models},
  author={Nikolai A. Gromov and V. V. Kuratov},
  journal={Czechoslovak Journal of Physics},
The FRT quantum Euclidean spaces OqN are formulated in terms of Cartesian generators. The quantum analogs of N-dimensional Cayley-Klein spaces are obtained by contractions and analytical continuations. Noncommutative constant-curvature spaces are introduced as spheres in the quantum Cayley-Klein spaces. For N = 5 part of them is interpreted as the noncommutative analogs of (1+3) space-time models. As a result the quantum (anti) de Sitter, Minkowski, Newton, Galilei kinematics with the… Expand
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The purpose of the present note is to investigate, in some generality, in which sense groups can be limiting cases of other groups, and how their representations can be obtained from the representations of the groups of which they appear as limits. Expand
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