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Unitary representations of the quantum group SU q (1,1): Structure of the dual space ofU q (sl(2))

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Abstract

Real forms of the quantum universal enveloping algebraU q (sl(2)) and a topological quantum group associated with this algebra are discussed.

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References

  1. BargmannV.,Ann. of Math. 48, 568–640 (1947).

    Google Scholar 

  2. Drinfeld, V. G., Quantum groups,Proc. Internat. Congress of Mathematics, Berkeley, California, U.S.A., 1986, pp. 798–820.

  3. Andrews, G. E.,q-series; their development and application in analysis, number theory, combinatrics, physics, and computer algebra,CBMS Regional Conference Series in Math. 66 AMS (1986).

  4. JimboM.,Lett. Math. Phys. 10, 63–69 (1985).

    Google Scholar 

  5. KoornwinderT. H., Representations of the twisted SU(2) quantum group and someq-hypergeometric orthogonal polynomials.Proc. Koninklijke Nederlandse Akademie van Wetenschappen, Series A 92, 97–117 (1989).

    Google Scholar 

  6. MasudaT., MimachiK., NakagamiY., NoumiM., and UenoK.,C. R. Acad. Sci. Paris, Serie I 307, 559–564 (1988).

    Google Scholar 

  7. Masuda, T., Mimachi, K., Nakagami, Y., Noumi, M., and Ueno, K., preprint (1989), to appear inJ. Funct. Anal.

  8. RossoM.,Commun. Math. Phys. 117, 581–593 (1988).

    Google Scholar 

  9. VaksmanL. L., and SoibelmanJa. S.,Funktsional Anal. i Pritozhen 22, 1–14 (1988).

    Google Scholar 

  10. Vaksman, L. L. and Korogodsky, L. L., preprint (1988).

  11. WoronowiczS. L.,Publ. RIMS, Kyoto Univ. 23, 117–181 (1987),Commun. Math. Phys. 111, 613–665 (1987).

    Google Scholar 

  12. Yamane, H., preprint, Osaka Univ. (1989).

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Masuda, T., Mimachi, K., Nakagami, Y. et al. Unitary representations of the quantum group SU q (1,1): Structure of the dual space ofU q (sl(2)). Lett Math Phys 19, 187–194 (1990). https://doi.org/10.1007/BF01039311

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  • DOI: https://doi.org/10.1007/BF01039311

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