Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Unitary representations of Lie groups with cocompact radical and applications


Author: L. Pukanszky
Journal: Trans. Amer. Math. Soc. 236 (1978), 1-49
MSC: Primary 22E30
MathSciNet review: 0486313
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The paper gives a necessary and sufficient condition in order that a connected and simply connnected Lie group with cocompact radical be of type I. This result is then applied to a characterization of Lie groups, all irreducible unitary representations of which are completely continuous.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 22E30

Retrieve articles in all journals with MSC: 22E30


Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1978-0486313-9
Article copyright: © Copyright 1978 American Mathematical Society