Quantum Deformations of Space-Time Symmetries and Interactions

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Lukierski, Jerzy; Stichel, Peter C.;
(1996)
  • Related identifiers: doi: 10.1023/A:1021444011964
  • Subject: High Energy Physics - Theory | Mathematics - Quantum Algebra
    arxiv: Mathematics::Quantum Algebra

We discuss quantum deformations of Lie algebra as described by the noncoassociative modification of its coalgebra structure. We consider for simplicity the quantum $D=1$ Galilei algebra with four generators: energy $H$, boost $B$, momentum $P$ and central generator $M$ ... View more
  • References (10)

    [1] V.G. Drinfeld, Algebra i Analiz in Russian, 1 Fasc. 6, p. 114 (1989)

    [2] P. Kosin´ski, J. Lukierski, P. Ma´slanka and J. Sobczyk, Mod. Phys. Lett. 10A, 2599 (1995)

    [3] N. Mukunda, E.C.G. Sudarshan, ,,Classical Dynamics”, Malabar, Fla. (1983)

    [4] D.G. Currie, T.F. Jordan and E.C.G. Sudarshan,. Rev. Mod. Phys. 35, 350 (1963)

    [5] J.T. Cannon and T.F. Jordan, Journ. Math. Phys. 5, 299 (1964)

    [6] H. Leutwyler, Nuovo Cim. 37, 556 (1965)

    [7] J. Lukierski, A. Nowicki and H. Ruegg, Phys. Lett. B293, 344 (1992)

    [8] S. Majid and H. Ruegg, Phys. Lett. B344, 384 (1994)

    [9] J. Lopuszan´ski and P.C. Stichel, preprint IFT UWr 899/95 November 1995 and IFT UWr 907/96, May 1996

    [10] A. Nowicki, in: “From Field Theory to Quantum Groups”, edited by B. Jancewicz and J. Sobczyk, World Scientific, Singapore 1996, p. 141-149

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