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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm118-2-10,
author = {M. McKee and T. Przebinda},
title = {Howe's correspondence for a generic harmonic analyst},
journal = {Colloquium Mathematicae},
volume = {120},
year = {2010},
pages = {539-557},
zbl = {1188.22007},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm118-2-10}
}
M. McKee; T. Przebinda. Howe's correspondence for a generic harmonic analyst. Colloquium Mathematicae, Tome 120 (2010) pp. 539-557. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm118-2-10/