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Automorphism-invariant representations of real reductive groups
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 129, Number 4, August 2007
- pp. 1063-1085
- 10.1353/ajm.2007.0027
- Article
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We characterize representations of a connected real reductive group which are invariant under an automorphism of finite order. The intertwining operators constructed in this characterization are then used to prove a Paley-Wiener theorem for a class of real reductive groups twisted by involutions.