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On the structure of inhomogeneous quantum groups

High Energy Physics - Theory 2009-10-28 v4 Quantum Algebra q-alg

Abstract

We investigate inhomogeneous quantum groups G built from a quantum group H and translations. The corresponding commutation relations contain inhomogeneous terms. Under certain conditions (which are satisfied in our study of quantum Poincare groups [12]) we prove that our construction has correct `size', find the R-matrices and the analogues of Minkowski space for G.

Keywords

Cite

@article{arxiv.hep-th/9412058,
  title  = {On the structure of inhomogeneous quantum groups},
  author = {P. Podles and S. L. Woronowicz},
  journal= {arXiv preprint arXiv:hep-th/9412058},
  year   = {2009}
}

Comments

LaTeX file, 47 pages, existence of invertible coinverse assumed, will appear in Commun. Math. Phys