Examples of induced representations

  • Jean-Pierre Serre
Part of the Graduate Texts in Mathematics book series (GTM, volume 42)

Abstract

Let A be a normal subgroup of a group G, and let p: G → GL(V) be an irreducible representation of G. Then:
  1. (a)

    either there exists a subgroup H of G, unequal to G and containing A, and an irreducible representation a of H such that p is induced by σ;

     
  2. (b)

    or else the restriction of p to A is isotypic.

     

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Copyright information

© Springer-Verlag, New York Inc. 1977

Authors and Affiliations

  • Jean-Pierre Serre
    • 1
  1. 1.Chaire d’algèbre et géométrieCollège de FranceParisFrance

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