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International Journal of Theoretical Physics

, Volume 33, Issue 4, pp 797–803 | Cite as

Quantum matrices inN dimensions

  • Won-Sang Chung
  • Ki-Soo Chung
  • Sang-Tack Nam
  • Chung-In Um
Article
  • 32 Downloads

Abstract

We obtain the commutation relation between rows and columns ofN ×N quantum matrices. We derive the quantum determinant and discuss its property in terms of the q-deformed Levi-Civita symbol. We find the inverse and trace ofN×N quantum matrices. Finally we discuss the q-deformed complexification of the quantum matrices.

Keywords

Field Theory Elementary Particle Quantum Field Theory Commutation Relation Quantum Matrice 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Burdik, C., and Hellinger, P. (1992).Journal of Physics A,25, L629.Google Scholar
  2. Burdik, C., and Hlavaty, L. (1991).Journal of Physics A,24, L165.Google Scholar
  3. Chung, W. S., Chung, K. S., Nam, S. T., and Kang, H. J. (1993). Contraction rule of the q-deformed Levi-Civita symbol, Preprint GNU-TG-93-35.Google Scholar
  4. Ewen, H., Ogievetsky, O., and Wess, J. (1991). Quantum matrices in 2 dimensions, MPI-PAE/PTh 18/91.Google Scholar
  5. Ge, M., Lin, X., and Sun, C. (1992).Journal of Mathematical Physics,335, 2541.Google Scholar
  6. Giler, G., Kosinski, P., and Maslanka, P. (1991).Modern Physics Letters A,6, 3251.Google Scholar
  7. Hlavaty, L. (1991).Journal of Physics A,24, 2903.Google Scholar
  8. Kupershmidt, B. (1992).Journal of Physics A,25, L915.Google Scholar
  9. Manin, Yu. I. (1987).Annales de l'Institut Fourier, Grenoble,37, 191.Google Scholar
  10. Manin, Yu. I. (1988). Quantum groups and non-commutative geometry, Preprint Montreal University, CRM-1561.Google Scholar
  11. Manin, Yu. I. (1989).Communications in Mathematical Physics,123, 163.Google Scholar
  12. Schirrmacher, A. (1991a).Journal of Physics A,24, L1249.Google Scholar
  13. Schirrmacher, A. (1991b).Zeitschrift für Physik,50, 321.Google Scholar
  14. Schirrmacher, A., Wess, J., and Zumino, B. (1991).Zeitschrift für Physik C,49, 317.Google Scholar
  15. Schmidke, W., Vokos, S., and Zumino, B. (1989). UCB-PTH-89/32.Google Scholar
  16. Ubriaco, M. (1992).Journal of Physics A,25, 169.Google Scholar
  17. Wess, J., and Zumino, B. (1990). CERN-TH-5697/90.Google Scholar
  18. Woronowicz, S. (1990).Communications in Mathematical Physics,111, 613.Google Scholar
  19. Woronowicz, S. (1990).Communications in Mathematical Physics,122, 125.Google Scholar
  20. Zumino, B. (1991).Modern Physics Letters A,6, 1225.Google Scholar

Copyright information

© Plenum Publishing Corporation 1994

Authors and Affiliations

  • Won-Sang Chung
    • 1
  • Ki-Soo Chung
    • 1
  • Sang-Tack Nam
    • 1
  • Chung-In Um
    • 2
  1. 1.Theory Group, Department of Physics, College of Natural SciencesGyeongsang National UniversityJinjuKorea
  2. 2.Department of Physics, College of ScienceKorea UniversitySeoulKorea

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