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Lie Groups pp 275-283 | Cite as

Mackey Theory

  • Daniel Bump
Part of the Graduate Texts in Mathematics book series (GTM, volume 225)

Abstract

Given a subgroup H of a finite group G,and a representation π of H,there is an induced representation π G of G. Mackey theory is concerned with intertwining operators between a pair of induced representations. If these representations are induced from subgroups H1 and H2, the intertwining operators are parametrized in a computable way by double cosets. A special case is when one of the subgroups H ί is G itself — in these cases, Mackey theory reduces to Frobenius reciprocity.

Keywords

Abelian Group Finite Group Double Coset Coset Representative Ground Field 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Daniel Bump
    • 1
  1. 1.Department of MathematicsStanford UniversityStanfordUSA

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