Abstract
Abstract
Let G be a complex semisimple Lie group and H a complex closed connected subgroup. Let
and
be their Lie algebras. We prove that the regular representation of G in
$L^2(G/H)$
is tempered if and only if the orthogonal of
in
contains regular elements by showing simultaneously the equivalence to other striking conditions, such as
has a solvable limit algebra.
Publisher
Cambridge University Press (CUP)
Reference10 articles.
1. Tempered homogeneous spaces III;Benoist;Journal of Lie Theory,2021
2. Tempered reductive homogeneous spaces
Cited by
1 articles.
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