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Analytic continuation of local representations of Lie groups
Journal article   Open access  Peer reviewed

Analytic continuation of local representations of Lie groups

Pacific journal of mathematics, Vol.125(no. 2), pp.397-408
1986
DOI: 10.2140/pjm.1986.125.397
url
https://doi.org/10.2140/pjm.1986.125.397View
Published (Version of record) Open Access

Abstract

We consider a symmetric space (G, K, σ) where G is a Lie group, K a closed subgroup, and σ the involutive automorphism defining the space. A local representation π is defined for g in a neighborhood of e in G, and the operator π(g) is unbounded and defined on a dense subspace in a Hubert space where the identity holds. We study analytic continuations of π to unitary representations of a group G* which is dual to G. © 1986 by Pacific Journal of Mathematics.
22E45

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