Howe's correspondence for a generic harmonic analyst

Volume 118 / 2010

M. McKee, T. Przebinda Colloquium Mathematicum 118 (2010), 539-557 MSC: Primary 22E45; Secondary 22E46. DOI: 10.4064/cm118-2-10

Abstract

The goal of this article is to explain Howe's correspondence to a reader who is not necessarily an expert on representation theory of real reductive groups, but is familiar with general concepts of harmonic analysis. We recall Howe's construction of the oscillator representation, the notion of a dual pair and a few basic and general facts concerning the correspondence.

Authors

  • M. McKeeDepartment of Mathematics
    University of Oklahoma
    Norman, OK 73019, U.S.A.
    e-mail
  • T. PrzebindaDepartment of Mathematics
    University of Oklahoma
    Norman, OK 73019, U.S.A.
    e-mail

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