Non-compact groups and irreducible representations

  • Gregg J. Zuckerman
Session I — Group Representations
Part of the Lecture Notes in Physics book series (LNP, volume 180)


We review the modern development of the theory of linear irreducible infinite dimensional representations of noncompact groups. Such representations arise on spaces of states, spaces of observables, spaces of classical fields, etc. We connect the unitarity problem in mathematics to the elimination of ghosts in formalisms using indefinite Hermitian metrics.


Module Product Maximal Compact Subgroup Unitary Irreducible Representation Conformal Algebra Noncompact Group 
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Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • Gregg J. Zuckerman
    • 1
  1. 1.Mathematics DepartmentYale UniversityNew HavenUSA

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