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15 January 2019 Cohomologically induced distinguished representations and cohomological test vectors
Binyong Sun
Duke Math. J. 168(1): 85-126 (15 January 2019). DOI: 10.1215/00127094-2018-0044

Abstract

Let G be a real reductive group, and let χ be a character of a reductive subgroup H of G. We construct χ-invariant linear functionals on certain cohomologically induced representations of G, and we show that these linear functionals do not vanish on the bottom layers. Applying this construction, we prove two Archimedean nonvanishing hypotheses which are vital to the arithmetic study of special values of certain L-functions via modular symbols.

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Binyong Sun. "Cohomologically induced distinguished representations and cohomological test vectors." Duke Math. J. 168 (1) 85 - 126, 15 January 2019. https://doi.org/10.1215/00127094-2018-0044

Information

Received: 24 March 2017; Revised: 10 September 2018; Published: 15 January 2019
First available in Project Euclid: 8 November 2018

zbMATH: 07036280
MathSciNet: MR3909894
Digital Object Identifier: 10.1215/00127094-2018-0044

Subjects:
Primary: 22E41, 22E46

Rights: Copyright © 2019 Duke University Press

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Vol.168 • No. 1 • 15 January 2019
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