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Boson realization of YangiansY(sl(2)) andY(sl(3))

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Abstract

Studying the algebraic structure of the YangiansY(sl(2)), andY(sl(3)) we present their boson realizations. In the case ofY(sl(2)) we give the realization by using 1-canonical boson pair and two parameters and in theY(sl(3)) with 2-canonical boson pairs, two parameters and subalgebrasl(2). Substituting the realization ofU(sl(2)), we can obtain the pure boson realization by 3-canonical pairs and three parameters.

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References

  1. Drinfeld V.G.: Soviet Math. Dokl.32 (1988) 212.

    Google Scholar 

  2. Drinfeld V.G.:in Quantum groups. Proc. ICM-86, Berkeley (USA), Vol. 1. Amer. Math. Soc., 1987, p. 798.

  3. Drinfeld V.G.: Soviet Math. Dokl.32 (1988) 212.

    Google Scholar 

  4. Bernard D.: An Introduction to Yangian Symmetries. Preprint SPhT-92-134, Service de Physique Theorique de Saclay, 1992.

  5. Smirnov F.A.: J. Modern Phys. A7, suppl. 1B, (1992) 813.

    Google Scholar 

  6. Biedenharn L.: J. Phys.: Math. Gen A22 (1989) L1873.

    Google Scholar 

  7. MacFarlane A.: J. Phys.: Math. Gen A22 (1989) 4581.

    Google Scholar 

  8. Hayashi T.: Commun. Math. Phys.127 (1990) 129.

    Google Scholar 

  9. Hang-Chen Fu and Mo-Lin Ge: J. Math. Phys.33 (1992) 427.

    Google Scholar 

  10. Burdík Č.: J. Phys.: Math. Gen. A18 (1985) 3101.

    Google Scholar 

  11. Burdík Č. and Navrátil O.: J. Phys.: Math. Gen. A23 (1990) L1205.

    Google Scholar 

  12. Burdík Č., Černý L., and Navrátil O.: J. Phys.: Math. Gen. A25 (1993) L83.

    Google Scholar 

  13. Burdík Č.: Czech. J. Phys. B36 (1986) 1235.

    Google Scholar 

  14. Bernard D., Hikami K., and Wadati M.: The Yangian Deformation of theW-Algebras and the Calogero-Sutherland System. Preprint SPhT-94-155, Service de Physique Théorique de Saclay, 1994.

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Authors and Affiliations

  1. Department of Mathematics, Czech Technical University, Trojanova 13, 110 00, Praha, Czech Republic

    Č. Burdík

  2. Institute of Rock Structure and Mechanics, Acad. Sci. Czech Rep., V Holešovičkách 41, 180 00, Praha, Czech Republic

    O. Navrátil

Authors
  1. Č. Burdík
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  2. O. Navrátil
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Burdík, Č., Navrátil, O. Boson realization of YangiansY(sl(2)) andY(sl(3)). Czech J Phys 46, 145–150 (1996). https://doi.org/10.1007/BF01688804

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  • DOI: https://doi.org/10.1007/BF01688804

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