Skip to main content
SpringerLink
Log in

From Integrable Models to Quantum Groups

  • Conference paper
Book cover Fields and Particles

  • 100 Accesses

Abstract

The history of quantum groups is quite exciting and instructive. In this notion a purely algebraic synthesis of the technical developments in mathematical physics is found.

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight 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.E. Zakharov, L.D. Faddeev: Fun. Anal Appl. 5, 280 (1971)

    Article  Google Scholar 

  2. L.D. Faddeev, V.E. Korepin: Phys. Rev. C42, 3 (1978)

    Article  MathSciNet  Google Scholar 

  3. H.B. Thacker, D. Wilkinson: Phys. Rev. D19, 3660 (1979)

    MathSciNet  ADS  Google Scholar 

  4. E.K. Sklyanin, L.D. Faddeev: Sov. Phys. Doklady 23, 902 (1978)

    ADS  Google Scholar 

  5. E.K. Sklyanin: Sov. Phys. Doklady 24, 107 (1979)

    ADS  Google Scholar 

  6. E.K. Sklyanin, L.A. Takhtajan, L.D. Faddeev: Theor. Math. Phys. 40, 688 (1980)

    Article  MATH  Google Scholar 

  7. L.A. Takhtajan, L.D. Faddeev: Russian Math. Surveys 34, 11 (1979)

    ADS  Google Scholar 

  8. L.D. Faddeev: Sov. Sei. Rev. See. C: Math. Phys. 1, 107 (1980)

    Google Scholar 

  9. H. Thacker: Rev. Mod. Phys. 53, 253 (1981)

    Article  MathSciNet  ADS  Google Scholar 

  10. E.K. Sklyanin, P.P. Kulish: Lect. Notes Phys. 151, 61 (1982)

    Article  MathSciNet  ADS  Google Scholar 

  11. A.G. Izergin, V.E. Korepin: Fisika Echaya, (JINR, Dubna) 13, 501 (1982)

    MathSciNet  Google Scholar 

  12. L.D. Faddeev: “Les Houches Lectures” 1982n ( Elsevier, Amsterdam 1984 )

    Google Scholar 

  13. L.D. Takhtajan, L.D. Faddeev: Zap. Seminarov LOMI 109, 134 (1981)

    Google Scholar 

  14. P.P. Kulish, N.Yu. Reshetikhin, E.K. Sklyanin: Lett. Math. Phys. 5, 393 (1981)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  15. V.O. Tarasov, L.A. Takhtajan, L.D. Faddeev: Theor. Math. Phys. 57, 163 (1983) (in Russian)

    Article  MathSciNet  Google Scholar 

  16. P.P. Kulish, N.Yu. Reshetikhin: Zap. nauch. seminarov LOMI, 101 101 (1981) (in Russian); Journ. Sov. Math. 23, 2435 (1983)

    Article  Google Scholar 

  17. L.D. Faddeev, L.A. Takhtajan: Lecture Notes Physics 246, 166 (1986)

    Article  MathSciNet  ADS  Google Scholar 

  18. F. Bayen, M. Flato, C. Fronsdal, A. Lichnerowitz, D. Sternheimer: Ann. Phys. 111, 61 (1978); 111, III (1978)

    ADS  Google Scholar 

  19. N.Yu. Reshetkhin, L.A. Takhtajan, L.D. Faddeev: Algebra and Analysis 1, 178 (1989)

    Google Scholar 

  20. M. Jimbo: Comm. Math. Phys. 102, 537 (1986)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  21. V. Bazhanov: Comm. Math. Phys. 113, 471 (1987)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  22. Braid Group, Knot Theory and Statistical Mechanics: ed. M.L. Ge, C.N. Yang (World Scientific 1989 )

    Google Scholar 

  23. M.A. Semenov-Tian-Shansky: Publ. RIMS Kyoto Univ. 21, 1237 (1985)

    Article  MathSciNet  Google Scholar 

  24. V.G. Drinfeld: Doklady AN SSSR 273, 531 (1983)

    MathSciNet  Google Scholar 

  25. V.G. Drinfeld: Doklady AN SSSR 283, 1060 (1985)

    MathSciNet  Google Scholar 

  26. V.G. Drinfeld: in Proc. ICM Berkely, 768 (1986)

    Google Scholar 

  27. M. Jimbo: Lett. Math. Phys. 11, 247 (1986)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  28. L.D. Faddeev, N.Yu. Reshetikhin, L.A. Takhtajan: Algebraic Analysis vol.I (Academic Press 1988 ) p. 129

    Google Scholar 

  29. S. Woronowicz: Comm. Math. Phys. 111, 613 (1987)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  30. S. Woronowicz: Publ. RIMS Kyoto Univ. 23, 117 (1987)

    Article  MathSciNet  MATH  Google Scholar 

  31. L.D. Faddeev: in Recent Developments in Mathemtical Physics: ed. H. Mitter ( Pro- ceedings of the XXVI Schladming Winter School, Springer 1987 )

    Google Scholar 

  32. A.M. Polyakov: Phys. Lett. B 103, 207 (1981)

    Article  MathSciNet  ADS  Google Scholar 

  33. A.Yu. VokofF: to be published

    Google Scholar 

  34. A.K. Pogrebkov, M.K. Polivanov: Sov. Sei. Rev. Ser. C. Math. Phys. Vol. 3 (1985)

    Google Scholar 

  35. R. Marnelius: ITP Göteborg preprints (1982-1985)

    Google Scholar 

  36. E. Witten: Comm. Math. Phys. 92, 455 (1984)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  37. A.S. Budagov, N.M. Bogolyubov: Zap. nauch. Seminarov LOMI 146, 3 (1985)

    MathSciNet  MATH  Google Scholar 

  38. V.G. Drinfeld, V.V. Sokolow: Sovremennye problemy matematiki VINITI USSR 23, 81 (1984)

    Google Scholar 

  39. L.D. Faddeev, A.Yu. Volkoff: to be published

    Google Scholar 

  40. L.D. Faddeev: Preprint HU-TFT-89-56; Comm. Math. Phys. (to be published)

    Google Scholar 

  41. B. Blok: Phys. Lett. 233B, 359 (1989)

    Article  MathSciNet  Google Scholar 

  42. A. Alekseev, S.L. Shatashvili: Preprint EFI-89-67, (Comm. Math. Phys.) to be pub¬lished

    Google Scholar 

  43. J.-L. Gervais: preprint LPTENS 89/14

    Google Scholar 

  44. O. Babelon: Phys. Lett. B215, 523 (1988)

    Article  MathSciNet  Google Scholar 

  45. J.-L. Gervais, A. Neveu: Nucl. Phys. B 238, 125 (1984); B224, 329 (1983)

    MathSciNet  Google Scholar 

  46. A.N. Kirillov, N.Yu. Reshetikhin: Adv. Series in Math. Phys. 7, 285 (World Scientific 1989 )

    Google Scholar 

  47. N.Yu. Reshetikhin, F.A. Smirnoff: Harvard preprint, 1989

    Google Scholar 

  48. F.A. Smirnoff: J. Phys. A 19, L575 (1986)

    Article  ADS  Google Scholar 

  49. F.A. Smirnoff: Form-factors in Completely Integrable Models (World Scientific, to be published)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Steklov Mathematical Institute, Leningrad, USSR

    L. Faddeev

Authors
  1. L. Faddeev
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Institut für Theoretische Physik, Karl-Franzens-Universität, Universitätsplatz 5, A-8010, Graz, Austria

    Heinrich Mitter  & Wolfgang Schweiger  & 

Rights and permissions

Reprints and permissions

Copyright information

© 1990 Springer-Verlag Berlin, Heidelberg

About this paper

Cite this paper

Faddeev, L. (1990). From Integrable Models to Quantum Groups. In: Mitter, H., Schweiger, W. (eds) Fields and Particles. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-76090-7_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-76090-7_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-76092-1

  • Online ISBN: 978-3-642-76090-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation