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Perturbation and analytic continuation of group representations
Journal article   Open access

Perturbation and analytic continuation of group representations

Bulletin (new series) of the American Mathematical Society, Vol.82(6), pp.921-924
01/01/1976
DOI: 10.1090/S0002-9904-1976-14217-6
url
https://doi.org/10.1090/S0002-9904-1976-14217-6View
Published (Version of record) Open Access

Abstract

I introduce a theory of noncommutative bounded perturbations of Lie algebras of unbounded operators. When applied to group representations, it leads to an analytic embedding of the dual object of some semisimple Lie groups into the bounded operators on corresponding Hilbert spaces of K-finite vectors. © 1976 American Mathematical Society.

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