The oscillator character formula for isometry groups of split forms in deep stable range
type: Item
instance of: scholarly article
title: The oscillator character formula for isometry groups of split forms in deep stable range
zbMATH Open document ID: 0845.22007
author: Andrzej Daszkiewicz
author: Tomasz Przebinda
published in: Inventiones Mathematicae
publication date: 1996-05-08T00:00:00Z
full work available at URL: https://eudml.org/doc/144351
review text: Howe's correspondence (1980-1989) is a bijection between sets of infinitesimal equivalence classes of continuous irreducible representations of groups which form reducible dual pairs. In this paper an explicit integral kernel operator is found which expresses the distribution characters (Rossmann, 1993) of unitary representations occurring in Howe's correspondence.
Mathematics Subject Classification ID: 22E50
Mathematics Subject Classification ID: 22E70
zbMATH DE Number: 856595
zbMATH Keywords: Howe's correspondence
zbMATH Keywords: bijection
zbMATH Keywords: irreducible representations
zbMATH Keywords: dual pairs
zbMATH Keywords: integral kernel operator
zbMATH Keywords: distribution characters
zbMATH Keywords: unitary representations
reviewed by: A. A. Bogush
MaRDI profile type: Publication
OpenAlex ID: W4248224128
DOI: 10.1007/S002220050032
description: scientific article; zbMATH DE number 856595