Howe's correspondence for a generic harmonic analyst

• Autorzy: M. McKee , T. Przebinda
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 22E45: Representations of Lie and linear algebraic groups over real fields: analytic methods
• 22E46: Semisimple Lie groups and their representations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2010
• Tom: 118
• Numer: 2
• Strony: 539-557

Daty

wydano

2010

Twórcy

autor

M. McKee

• Department of Mathematics, University of Oklahoma, Norman, OK 73019, U.S.A.

autor

T. Przebinda

• Department of Mathematics, University of Oklahoma, Norman, OK 73019, U.S.A.

Identyfikatory

DOI

10.4064/cm118-2-10