Induction from a normal nilpotent subgroup

  • N. Giovannini
Mathematical Physics
Part of the Lecture Notes in Physics book series (LNP, volume 50)


The problem of the factors systems involved in the induction procedure (in the sense of Mackey) for the unitary representations of group extensions, is considered for the case where the normal subgroup is a nilpotent Lie group. A useful explicit expression is given for these factor systems which becomes especially simple for a large class of such extensions.


Normal Subgroup Unitary Representation Factor System Coset Space Irreducible Unitary Representation 
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Copyright information

© Springer-Verlag 1976

Authors and Affiliations

  • N. Giovannini
    • 1
  1. 1.Institute for Theoretical PhysicsUniversity of NijmegenThe Netherlands

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