Skip to main content
SpringerLink
Log in

Quantum poincaré group for isotropic quantum space-time

  • Published:
Czechoslovak Journal of Physics Aims and scope

Abstract

Possibilities of isotropic deformation of space-time are studied. The result is the two-parameter deformation. A differential calculus on the quantum space-time is constructed and the quantum differential geometry is formulated. A group of rigid motion of quantum space-time is investigated. This group is an example of a quantized braided group.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Rembieliński J.: Quantum braided Poincaré group. Preprint KFT UL 7/93, Lódź Univ., 1993.

  2. Manin Yu. I.: Quantum Groups and Non-Commutative Geometry. Centre de Recherches Mathématiques, Montreal, 1988.

    Google Scholar 

  3. Lukierski J., Nowicki A., Ruegg H., and Tolstoy V. N.: Phys. Lett. B264 (1991) 331.

    Google Scholar 

  4. Lukierski J., Nowicki A., and Ruegg H.: Phys. Lett. B293 (1992) 344.

    Google Scholar 

  5. Zakrzewski S.: J. Phys. A27 (1994) 2075.

    Google Scholar 

  6. Wess J. and Zumino B.: Nuclear Phys. (Proc. Suppl.) B18 (1990) 302.

    Google Scholar 

  7. Brzeziński T., Dąbrowski H., and Rembieliński J.: J. Math, Phys.33 (1992) 19.

    Google Scholar 

  8. Majid S.: J. Math. Phys.32 (1991) 3246.

    Google Scholar 

  9. Majid S.: J. Math. Phys.34 (1993) 2045.

    Google Scholar 

  10. Majid S.: Math. Proc. Cambr. Phil. Soc.113 (1993) 45.

    Google Scholar 

  11. Hlavatý L.: J. Math. Phys.35 (1994) 2560.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Zakład Fizyki Matematycznej, Uniwersytet Łódzki, ul. Pomorska 149/53, 90-236, Łódź, Poland

    Kordian Andrzej Smoliński

Authors
  1. Kordian Andrzej Smoliński
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This work is supported under the KBN grant No. 2P3.02.21706 p. 01.

I am grateful for an encouragement and many interesting discussions to J. Rembieliński. I would also like to thank J. Lukierski and P. Maślanka for the discussion during the 3rd Colloquium on Quantum Groups in Prague.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Smoliński, K.A. Quantum poincaré group for isotropic quantum space-time. Czech J Phys 44, 1101–1107 (1994). https://doi.org/10.1007/BF01690462

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01690462

Keywords

Search

Navigation