Possible contractions of quantum orthogonal groups
N. A. Gromov, I. V. Kostyakov, V. V. Kuratov
Abstract
Possible contractions of quantum orthogonal groups which correspond to different choices of primitive elements of Hopf algebra are considered and all allowed contractions in Cayley--Klein scheme are obtained. Quantum deformations of kinematical groups have been investigated and have shown that quantum analog of (complex) Galilei group G(1,3) do not exist in our scheme.
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