Unitary Representations of Lie Groups with Reflection Symmetry

We consider the following class of unitary representationsπof some (real) Lie groupGwhich has a matched pair of symmetries described as follows: (i) SupposeGhas a period-2 automorphismτ, and that the Hilbert spaceH(π) carries a unitary operatorJsuch thatJπ=(π∘τ)J(i.e.,selfsimilarity). (ii) An added...

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Bibliographic Details

Published in:	Journal of functional analysis Vol. 158; no. 1; pp. 26 - 88
Main Authors:	Jorgensen, Palle E.T., Ólafsson, Gestur
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 10.09.1998
ISSN:	0022-1236, 1096-0783
Online Access:	Get full text
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