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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Unitary representations of Lie groups and Gårding's inequality


Authors: Ola Bratteli, Fred Goodman, Palle Jorgensen and Derek W. Robinson
Journal: Proc. Amer. Math. Soc. 107 (1989), 627-632
MSC: Primary 22E45; Secondary 35J99
MathSciNet review: 947312
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Abstract: We prove two versions of Gåding's inequality for strongly elliptic operators in the enveloping Lie algebra associated with a unitary representation of a Lie group. We then deduce a characterization of the differential structure of the representation in terms of the elliptic operators.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1989-0947312-6
PII: S 0002-9939(1989)0947312-6
Article copyright: © Copyright 1989 American Mathematical Society