Skip to main content
SpringerLink
Log in

New Real Forms of U q (G)

  • Conference paper
Spinors, Twistors, Clifford Algebras and Quantum Deformations

Part of the book series: Fundamental Theories of Physics ((FTPH,volume 52))

Abstract

We consider different coalgebra structures in U q (G) induced by its (as algebra) automorphisms. We prove that for each obtained Hopf algebra a complete classification of real forms can be done.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. V. Dobrev, to appear in “Quantum Groups”, eds. H.D. Doebner and V. Dobrev, Springer Verlag 1992 (series Lecture Notes in Physics).

    Google Scholar 

  2. V.G. Drinfeld, Quantum Groups, Proceedings of the International Congress of Mathematicians, Berkeley 1986.

    Google Scholar 

  3. S.M. Khoroshkin, V.N. Tolstoy, Cartan-Weyl basis for quantized Kac-Moody (super) algebras and universal R-matrix, to appear in “Quantum Groups”, eds. H.D. Doebner, V. Dobrev, Springer Verlag 1992 (series Lectuie Notes in Physics).

    Google Scholar 

  4. V. Lyubashenko, Real and imaginary forms of quantum groups, Kiev preprint KPI-2606.

    Google Scholar 

  5. J. Lukierski, A. Nowicki, H. Ruegg, Phys. Lett. B 271, 321 (1991).

    MathSciNet  ADS  Google Scholar 

  6. M. Mozrzymas, Reality conditions for quantum algebras, University Bordeaux 1 preprint, LPTB 92-2.

    Google Scholar 

  7. T. Masuda, K. Mimachi, Y. Nakagami, M. Noumi, Y. Saburi, K.Ueno, Lett. Math. Phys. 19, 187 (1990).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. N. Reshetikhin, Lett. Math. Phys. 20 331 (1990).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  9. M. Scheunert, The antipode of and star operations in IIopf algebra, Bonn University preprint HE-92-13.

    Google Scholar 

  10. V.N. Tolstoy, talk given at Max Born Symposium, Wroclaw - Sobotka, September 1992.

    Google Scholar 

  11. E. Twietmeyer, Lett. Math. Phys. 24, 49 (1992).

    Article  MathSciNet  ADS  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Theoretical Physics, Wrocław University, Pl. Maxa Borna 9, 50-205, Wrocław, Poland

    Jan Sobczyk

Authors
  1. Jan Sobczyk
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Institute of Theoretical Physics, University of Wrocław, Wrocław, Poland

    Zbigniew Oziewicz , Bernard Jancewicz  & Andrzej Borowiec ,  & 

Rights and permissions

Reprints and permissions

Copyright information

© 1993 Springer Science+Business Media Dordrecht

About this paper

Cite this paper

Sobczyk, J. (1993). New Real Forms of U q (G). In: Oziewicz, Z., Jancewicz, B., Borowiec, A. (eds) Spinors, Twistors, Clifford Algebras and Quantum Deformations. Fundamental Theories of Physics, vol 52. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1719-7_40

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-1719-7_40

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4753-1

  • Online ISBN: 978-94-011-1719-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation