English

Possible contractions of quantum orthogonal groups

Quantum Algebra 2009-11-07 v1 High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.math/0102071,
  title  = {Possible contractions of quantum orthogonal groups},
  author = {N. A. Gromov and I. V. Kostyakov and V. V. Kuratov},
  journal= {arXiv preprint arXiv:math/0102071},
  year   = {2009}
}

Comments

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