Skip to main content
SpringerLink
Log in

The Harish-Chandra theorem for the quantum algebrau q (sl (3))

  • Brief Communications
  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

A basis of a quantum universal enveloping algebraU is constructed; the following theorem is proved with the help of this basis: For any nonzero element Μ ∃U, there exists a finite-dimensional representation π such thatπ(u) ≠ 0.

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. Yu. A. Drozd, S. A. Ovsienko, and V. M. Futorny, “On Gel'fand-Zetlin modules,”Suppl. Rend. Circolo Mat. Palermo, Ser. 2,26, 143–147 (1991).

    Google Scholar 

  2. V. G. Drinfel'd, “Quantum groups,” in:Proceedings of the International Mathematical Congress, Vol.1, Academic Press, Berkeley, California (1986), pp. 798–820.

    Google Scholar 

  3. M. Jimbo, “Aq-analogue ofU(gl (N+1)), Hecke Algebras, and the Yang-Baxter Equation,”Lett. Math. Phys.,11, 247–252 (1986).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Kiev University, Kiev

    B. Z. Guzner

Authors
  1. B. Z. Guzner
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45 No. 3, pp. 436–439, March, 1993.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Guzner, B.Z. The Harish-Chandra theorem for the quantum algebrau q (sl (3)). Ukr Math J 45, 466–470 (1993). https://doi.org/10.1007/BF01061020

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01061020

Keywords

Search

Navigation