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Contractions of bialgebras and super-bialgebras

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Czechoslovak Journal of Physics Aims and scope

Abstract

The contraction scheme of Z 2 graded super-bialgebras is discused. The existence of the contraction limit and the classical r-matrix with and without the coproduct rescaling is investigated. As an example the contraction of D = 4 Poincaré N = 2 super-bialgebra to D = 2 Poincaré N = 2 super-bialgebra is given.

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References

  1. Inonu E. and Wigner P.: Proc Natl. Acad. Sci. US 39 (1953) 510.

    Google Scholar 

  2. Celeghini E., Giechetti R., Sorace E., and Tarlini M.: J. Math. Phys. 32 (1990) 2548.

    Google Scholar 

  3. Celeghini E., Giachetti R., Sorace E., and Tarlini M.: in Quantum Groups, Proc. Workshops held in Euler Int. Math. Inst. 1990 (P.P. Kulish, ed.), Lect. Notes in Mathematics, Vol. 1510, Springer, Berlin, 1990, p. 221.

    Google Scholar 

  4. Ballesteros A., Gromov N.A., Herranz F.J., del Olmo M.A., and Santander M.: J. Math. Phys. 36 (1995) 5916.

    Google Scholar 

  5. Drinfeld V.G.: in Proc. Int. Congress of Mathematicians, Providence (R.I.) 1986 (Ed. A.M. Gleason), AMS, 1987, Vol. 1, p. 798.

  6. Reshetikhin N.: Duke. Math. J. 61 (1992) 143.

    Google Scholar 

  7. Andruskiewitsch N.: Abh. Math. Sem. Univ. Hamburg 63 (1993) 147.

    Google Scholar 

  8. Lukierski J., Sobczyk J., and Nowicki A.: J. Phys. A 26 (1993) L1009.

    Google Scholar 

  9. Juszczak C. and Lukierski J., in preparation.

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Authors and Affiliations

  1. Institute of Theoretical Physics, University of Wrocław, Pl. Maksa Borna 9, Wrocław, Poland

    C. Juszczak

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  1. C. Juszczak
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Juszczak, C. Contractions of bialgebras and super-bialgebras. Czechoslovak Journal of Physics 47, 25–31 (1997). https://doi.org/10.1023/A:1021435810146

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  • DOI: https://doi.org/10.1023/A:1021435810146

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