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arXiv · 1509.03429

The tempered spectrum of a real spherical space

Friedrich Knop·Bernhard Krötz·Henrik Schlichtkrull
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Abstract

Let G/H be a unimodular real spherical space which is either absolutely spherical or wave-front. It is shown that every tempered representation of G/H embeds into a relative discrete series of a boundary degeneration of G/H. If in addition G/H is of wave-front type it follows that the tempered representation is parabolically induced from a discrete series representation of a lower dimensional real spherical space. Final version. To appear in Acta Math.

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Friedrich Knop, Bernhard Krötz, Henrik Schlichtkrull. 2015-09-11. The tempered spectrum of a real spherical space. https://doi.org/10.4310/acta.2017.v218.n2.a3

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