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arXiv · 1111.2636

Cohomologically induced distinguished representations and cohomological test vectors

Binyong Sun
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Abstract

Let $G$ be a real reductive group, and let $\chi$ be a character of a reductive subgroup $H$ of $G$. We construct $\chi$-invariant linear functionals on certain cohomologically induced representations of $G$, and show that these linear functionals do not vanish on the bottom layers. Applying this construction, we prove two archimedean non-vanishing assumptions, which are crucial in the study of special values of L-functions via modular symbols.

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BibTeXRIS

Binyong Sun. 2011-11-11. Cohomologically induced distinguished representations and cohomological test vectors. https://doi.org/10.1215/00127094-2018-0044

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