The tempered spectrum of a real spherical space

Knop F, Krötz B, Schlichtkrull H (2017)

Publication Language: English

Publication Type: Journal article, Original article

Publication year: 2017

Journal

Acta Mathematica Royal Swedish Academy of Sciences, Institut Mittag-Leffler

Book Volume: 218

Pages Range: 319-383

DOI: 10.4310/ACTA.2017.v218.n2.a3

Abstract

Let G/H be a unimodular real spherical space. 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.

Authors with CRIS profile

Friedrich Knop Lehrstuhl für Mathematik (Algebra und Geometrie)

How to cite

APA:

Knop, F., Krötz, B., & Schlichtkrull, H. (2017). The tempered spectrum of a real spherical space. Acta Mathematica, 218, 319-383. https://dx.doi.org/10.4310/ACTA.2017.v218.n2.a3

MLA:

Knop, Friedrich, Bernhard Krötz, and Henrik Schlichtkrull. "The tempered spectrum of a real spherical space." Acta Mathematica 218 (2017): 319-383.

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