Abstract
Algebraic structure of q-deformed Heisenberg algebras is investigated with emphasis on the properties of centralisers of elements of the algebra.
Similar content being viewed by others
References
Arik M. and Coon D. D.: J. Math. Phys. 17 (1976) 524.
Cigler J.: Monatsh. Math. 88 (1979) 87.
Damaskinsky E. V. and Kulish P. P.: Zap. Nauch. Semin. LOMI 189 (1991) 37.
Fairlie D. B. and Zachos C. K.: Physics Letters B 256 (1991), 43.
Feinsilver Ph.: Rocky Mountain J. Math. 12 (1982) 171.
Fleury N. and Turbiner A.: J. Math. Phys. 35 (1994) 6144.
Gelfand I. M. and Fairlie D. B.: Commun. Math. Phys. 136 (1991) 487.
Jørgensen P. E. T. and Werner R. F.: Commun. Math. Phys. 164 (1994) 455.
Joseph A.: Quantum groups and their primitive ideals, Springer-Verlag, Berlin, 1995.
Majid S.: Foundations of Quantum Group Theory, Cambridge University Press, 1995.
Turbiner A.: Funktsional. Anal. i Prilozhen. 29 (1995) 88.
Hellström L. and Silvestrov S. D.: Centralisers in q-deformed Heisenberg algebras (in preparation).
Bergman G. M.: Adv. in Math., 29 (1978) 178.
Burchnall J. L. and Chaundy T. W.: Proc. London Math. Soc., ser.2, 21 (1922) 420.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Hellström, L., Silvestrov, S.D. On centralisers in q-deformed Heisenberg algebras. Czechoslovak Journal of Physics 47, 1163–1169 (1997). https://doi.org/10.1023/A:1021666318885
Issue Date:
DOI: https://doi.org/10.1023/A:1021666318885