The tempered spectrum of a real spherical space
Representation Theory
2022-09-23 v3
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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Cite
@article{arxiv.1509.03429,
title = {The tempered spectrum of a real spherical space},
author = {Friedrich Knop and Bernhard Krötz and Henrik Schlichtkrull},
journal= {arXiv preprint arXiv:1509.03429},
year = {2022}
}
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64 pages