Skip to main content
Log in

Irreducible representations of the quantum analogue of SU(2)

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

Abstract

We give the complete set of irreducible representations of U(SU(2))q when q is a mth root of unity. In particular, we show that their dimensions are less or equal to m. Some of them are not highest-weight representations.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Drinfeld, V. G., Quantum groups, Proc. I. C. M. Berkeley (1986).

  2. Jimbo, M., Quantum R matrix for the generalized Toda system, Commun. Math. Phys. 102, 537–547 (1986).

    Google Scholar 

  3. Sklyanin, E. K., Some algebraic structures connected with the Yang-Baxter equation. Representations of quantum algebras, Funct. Anal. Appl. 17, 273 (1983).

    Google Scholar 

  4. Pasquier, V. and Saleur, H., Seminar Les Houches, 1988.

  5. Pasquier, V., Continuum limit of lattice models built on quantum groups, Saclay Preprint SPhT/87-125.

  6. Pasquier, V., Etiology of IRF models, Commun. Math. Phys. 118, 355 (1988).

    Google Scholar 

  7. Rosso, M., Finite dimensional representations of the quantum analogue of the enveloping algebra of complex simple Lie algebras, Commun. Math. Phys. 117, 581 (1988).

    Google Scholar 

  8. Lusztig, G., Adv. Math. 70, 237 (1988).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Roche, P., Arnaudon, D. Irreducible representations of the quantum analogue of SU(2). Lett Math Phys 17, 295–300 (1989). https://doi.org/10.1007/BF00399753

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00399753

AMS subject classification (1980)

Navigation