Global analysis by hidden symmetry
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Publication:1728697
DOI10.1007/978-3-319-59728-7_13zbMATH Open1415.22012arXiv1608.08356OpenAlexW2517097129MaRDI QIDQ1728697
Author name not available (Why is that?)
Publication date: 25 February 2019
Abstract: Hidden symmetry of a G'-space X is defined by an extension of the G'-action on X to that of a group G containing G' as a subgroup. In this setting, we study the relationship between the three objects: (A) global analysis on X by using representations of G (hidden symmetry); (B) global analysis on X by using representations of G'; (C) branching laws of representations of G when restricted to the subgroup G'. We explain a trick which transfers results for finite-dimensional representations in the compact setting to those for infinite-dimensional representations in the noncompact setting when is -spherical. Applications to branching problems of unitary representations, and to spectral analysis on pseudo-Riemannian locally symmetric spaces are also discussed.
Full work available at URL: https://arxiv.org/abs/1608.08356
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