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Covariant Quantum Algebras

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Symmetries in Science VI
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Abstract

The main aim of this talk is to discuss quantum- (q-) linear algebras in n-dimensional q-space with *-structure.

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References

  1. S.L. Woronowicz, Publ. RIMS, Kyoto Univ. 23:117(1987).

    Article  MathSciNet  MATH  Google Scholar 

  2. Yu.I. Manin, “ Quantum Groups and Non-Commutative Geometry,” Les publication du Centre de Recherches Mathématiques, Universite de Montreal (1988).

    Google Scholar 

  3. M. Nomura, J. Phys. Soc. Japan. 60:789(1991), 60:3260(1991).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  4. M. Nomura, in: Proc. 20th Int. Conf. on “Differential Geometric Methods in Theoretical Physics,” S. Catto and A. Rocha ed., World Scientific, Singapore (1992), Vol.1, p.574.

    MathSciNet  Google Scholar 

  5. M. Nomura, J. Phys. Soc. Japan. 61:1485(1992).

    Article  MathSciNet  ADS  Google Scholar 

  6. M. Nomura, J. Phys. Soc. Japan. 59:439(1991), 59:2345(1990).

    MathSciNet  ADS  Google Scholar 

  7. M. Nomura, J. Phys. Soc. Japan. 60:4060(1991).

    Article  MathSciNet  ADS  Google Scholar 

  8. T. Regge, Nuovo Cim. 10:544(1958).

    Article  MATH  Google Scholar 

  9. L.C. Biedenharn and J.D. Louck: “Encyclopedia of Mathematics and its Applications,” G.-C. Rota, ed., Addison-Wesley, Massachusetts(1981), Vols. 8 and 9.

    Google Scholar 

  10. W. Pusz, Lett. Math. Phys. 21:59(1991).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  11. M. Chaichian, P. Kulish and J. Lukierski, Phys. Lett. B262:43(1991)

    MathSciNet  ADS  Google Scholar 

  12. D.B. Fairlie and C.K. Zachos, Phys. Lett. B256:43(1991).

    MathSciNet  ADS  Google Scholar 

  13. N.Yu. Reshetikhin, L.A. Takhtadzhyan and L.D. Faddeev, Leningrad Math. J., 1:193(1990).

    MathSciNet  MATH  Google Scholar 

  14. H. Yamada in: Proc. 20th Int. Conf. on “Differential Geometric Methods in Theoretical Physics,” S. Catto and A. Rocha, ed., World Scientific, Singapore (1992), Vol.1, p.661.

    Google Scholar 

  15. M. Nomura, J. Phys. Soc. Japan, 59:4260(1990).

    Article  MathSciNet  ADS  Google Scholar 

  16. A.J. Macfarlane, J. Phys. A. Math. Gen. 22:4581(1989)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  17. L.C. Biedenharn, J. Phys. A. Math. Gen. 22:L873(1989).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  18. M. Nomura and L.C. Biedenharn, On the q-Symplecton Realization of the Quantum Group SU q(2), To appear in J. Math. Phys. 33:No.10(1992).

    MathSciNet  Google Scholar 

  19. M. Nomura, J. Math. Phys. 30:2397(1989).

    Article  MathSciNet  ADS  MATH  Google Scholar 

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© 1993 Springer Science+Business Media New York

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Nomura, M. (1993). Covariant Quantum Algebras. In: Gruber, B. (eds) Symmetries in Science VI. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1219-0_45

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  • DOI: https://doi.org/10.1007/978-1-4899-1219-0_45

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-1221-3

  • Online ISBN: 978-1-4899-1219-0

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