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TEMPERED HOMOGENEOUS SPACES IV
Published online by Cambridge University Press: 07 June 2022
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.
MSC classification
Secondary:
22F30: Homogeneous spaces
- Type
- Research Article
- Information
- Journal of the Institute of Mathematics of Jussieu , Volume 22 , Issue 6 , November 2023 , pp. 2879 - 2906
- Copyright
- © The Author(s), 2022. Published by Cambridge University Press
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