Skip to main content
SpringerLink
Log in

Rigidity Theorems for Multiparametric Deformations of the Universal Enveloping Algebras

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

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

REFERENCES

  1. E. E. Demidov, "On multi-parametric quantum deformations of GL(n)," Usp. Mat. Nauk, 46, No. 4, 147-148 (1991).

    Google Scholar 

  2. V. G. Drinfeld, "Quasi-Hopf algebras," Leningrad Math. J., 1, No. 6, 114-148 (1989).

    Google Scholar 

  3. V. A. Golubeva and V. P. Leksin, "On two types of representations of the braid group associated with the Knizhnik-Zamolodchikov equation of the B n type," J. Dyn. Cont. Syst., 5, No. 4, 565-596 (1999).

    Google Scholar 

  4. N. H. Jing, "Quantum groups with two parameters," Contemp. Math., 134, 129-138 (1992).

    Google Scholar 

  5. C. Kassel, "Quantum groups," Grad. Texts Math., 155, Springer-Verlag, Berlin-Heidelberg-New York (1995).

    Google Scholar 

  6. C. Kassel and V. Turaev, "Biquantization of Lie algebras," Preprint, IRMA (Strasburg), No. 29 (1998).

  7. T. Kohno, Quantized universal envelopping algebras and monodromy of braid groups, Preprint Nagoya Univ. (1991).

  8. Yu. I. Manin, "Multi-parametric quantum deformation of the general linear group," Commun. Math. Phys., 123, 163-175 (1989).

    Google Scholar 

  9. N. Reshetikhin, "Multiparameter quantum groups and twisted quasitriangular Hopf algebras," Lett. Math. Phys., 20, 331-335 (1990).

    Google Scholar 

Download references

Authors
  1. V. A. Golubeva
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. P. Leksin
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Golubeva, V.A., Leksin, V.P. Rigidity Theorems for Multiparametric Deformations of the Universal Enveloping Algebras. Journal of Mathematical Sciences 108, 420–431 (2002). https://doi.org/10.1023/A:1012810218020

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1012810218020

Keywords

Search

Navigation