Unitary Representations of the Quantum Anti-de Sitter Group at Roots of Unity and Elementary Particles

  • Harold Steinacker
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 543)


There exist unitary representations of the quantum Anti-de Sitter group at roots of unity which correspond to elementary particles, with an intrinsic high- energy cutoff. They can be described by polynomial functions on quantum AdS space. A length scale is identified where the space is expected to become noncom- mutative.


  1. [1]
    H. Steinacker, “Finite-dimensional Unitary Representations of quantum Anti-de Sitter Groups at Roots of Unity”, Comm. Math. Phys. 192, 687 (1998)zbMATHCrossRefADSMathSciNetGoogle Scholar
  2. [2]
    H. Steinacker, “Quantum Anti-de Sitter space and sphere at roots of unity”, hep-th/9910037Google Scholar
  3. [3]
    L.D. Faddeev, N.Yu. Reshetikhin, L.A. Takhtajan. “Quantization of Lie Groups and Lie Algebras” Algebra Anal. 1 178 (1989)MathSciNetGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Harold Steinacker
    • 1
  1. 1.Institut für theoretische Physik LudwigMaximilians Universität MünchenMünchenGermany

Personalised recommendations