Skip to main content
Log in

On PBW bases for Yangians

  • Published:
Letters in Mathematical Physics Aims and scope Submit manuscript

Abstract

PBW bases for Yangians are constructed.

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

Access this article

Subscribe and save

Springer+ Basic
€32.70 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (France)

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Drinfel'd, V. G., Hopf algebras and the quantum Yang-Baxter equation,Dokl. Akad. Nauk SSSR 283 (1985) (in Russian) =Soviet Math. Dokl. 32, 254–258 (1985).

    Google Scholar 

  2. Chari, V. and Pressley, A. N., Yangians andR-matrices,Enseign. Math. 36, 267–302 (1990).

    Google Scholar 

  3. Chari, V. and Pressley, A. N., Fundamental representations of Yangians, Tata preprint, 1990.

  4. Rosso, M., An analogue of PBW theorem and the universalR-matrix for U h (sl(N + 1)),Comm. Math. Phys. 124, 307–318 (1989).

    Google Scholar 

  5. Lusztig, G., Canonical bases arising from quantized enveloping algebras,J. Amer. Math. Soc. 3, 447-498.

  6. Levendorskii, S. and Soibelman, Ya., Some applications of quantum Weyl group,J. Geom. Phys. 7(4), 1–14 (1991).

    Google Scholar 

  7. Levendorskii, S. and Soibelman, Ya., Algebras of functions on compact quantum groups, Schubert cells and quantum tori,Comm. Math. Phys. 139, 141–170 (1991).

    Google Scholar 

  8. Kirillov, A. N. and Reshetikhin, N. Yu.,Q-analog of Weyl group andR-matrices, Preprint HUTHP - Harvard, 1990 - HUTHP-90/B261.

  9. Drinfel'd, V. G., A new realization of Yangians and quantized affine algebras,Dokl. Akad. Nauk SSSR 296 (1987) (in Russian) =Soviet Math. Dokl. 36, 212–216 (1988).

    Google Scholar 

  10. Drinfel'd, V. G., Quantum groups, inProc. Internat. Congress of Mathematicians, Berkeley (1986), vol. 1, Amer. Math. Soc., 1987, pp. 798-820.

  11. Chari, V. and Pressley, A. N., Fundamental representations of Yangians and singularities ofR-matrices, Tata preprint, 1990.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Levendorskii, S.Z. On PBW bases for Yangians. Lett Math Phys 27, 37–42 (1993). https://doi.org/10.1007/BF00739587

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00739587

Mathematics Subject Classifications (1991)

Navigation