Skip to main content
Log in

Bicovariant differential calculi on SL q(N) and Sp q(N)

  • Published:
Czechoslovak Journal of Physics Aims and scope

Abstract

For transcendental values of the deformation parameter q all bicovariant first order differential calculi on the Hopf algebras \(\mathcal{O}(SL_q (N)){\text{ and }}\mathcal{O}(Sp_q (N))\) are classified.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Woronowicz S.L.: Commun. Math. Phys. 122 (1989) 125.

    Google Scholar 

  2. Müller-Hoissen F.: J. Phys. A 25 (1992) 1703.

    Google Scholar 

  3. Schmüdgen K. and Schüler A.: Commun. Math. Phys. 167 (1995) 635.

    Google Scholar 

  4. Schmüdgen K. and Schüler A.: Commun. Math. Phys. 170 (1995) 315.

    Google Scholar 

  5. Bresser K., Dimakis A., Müller-Hoissen F., and Sitarz A.: J. Phys. A 29 (1996) 2705.

    Google Scholar 

  6. Bonechi F., Giachetti R., Maciocco R., Sorace E., and Tarlini M.: Lett. Math. Phys. 37 (1996) 405.

    Google Scholar 

  7. Majid S.: Classification of bicovariant differential calculi. Preprint, Harvard University, 1996.

  8. Reshetikhin N.Yu. and Semenov-Tianshansky M.A.: J. Geom. Phys. 5 (1988) 533.

    Google Scholar 

  9. Faddeev L.D., Reshetikhin N.Yu., and Takhtayan L.A.: Algebra i Analiz 1 (1989) 178.

    Google Scholar 

  10. Hayashi T.: Publ. RIMS Kyoto Univ. 28 (1992) 57.

    Google Scholar 

  11. Klimyk A. and Schmüdgen K.: Quantum Groups and Their Representations. Springer-Verlag, Heidelberg, 1997.

    Google Scholar 

  12. Jurčo B.: Lett. Math. Phys. 22 (1991) 177.

    Google Scholar 

  13. Carow-Watamura U., Schlieker M., Watamura S., and Weich W.: Commun. Math. Phys. 142 (1991) 605.

    Google Scholar 

  14. Heckenberger I. and Schmüdgen K.: Classification of Bicovariant Differential Calculi on the Quantum Groups SL q (n + 1) and Sp q (2n). NTZ Preprint, Leipzig, July 1997.

  15. Majid S.: Foundations of Quantum Group Theory. Cambridge University Press, 1995.

  16. Schmüdgen K. and Schüler A.: in Generalized Symmetries in Physics (Editors Doebner H.-D., Dobrev V.K., and Ushveridze A.G.), World Scientific, Singapore, 1994, p. 185.

    Google Scholar 

  17. Joseph A. and Letzter G.: Amer. J. Math. 116 (1994) 127.

    Google Scholar 

  18. Joseph A.: Quantum Groups and Their Primitive Ideals. Ergebnisse der Mathematik und ihrer Grenzgebiete, Springer-Verlag, Berlin, 1995.

    Google Scholar 

  19. Brzezinski T. and Majid S.: Lett. Math. Phys. 26 (1992) 67.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Heckenberger, I., Schmüdgen, K. Bicovariant differential calculi on SL q(N) and Sp q(N). Czechoslovak Journal of Physics 47, 1145–1151 (1997). https://doi.org/10.1023/A:1021662217976

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1021662217976

Keywords

Navigation