Possible contractions of quantum orthogonal groups

Details Possible contractions of quantum orthogonal groups Possible contractions of quantum orthogonal groups

2001-02-08

arxiv.org/abs/math/0102071v1

Phys.Atom.Nucl. 64 (2001) 2121-2125; Yad.Fiz. 64 (2001) 2211-2215

Mathematics

Quantum Algebra

10 pages, Latex. Report given at XXIII Int. Colloquium on Group Theoretical Methods in Physics, July 31- August 5, 2000, Dubna

Scientific paper

10.1134/1.1432910

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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