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An arithmetic property of intertwining operators for p-adic groups
Published online by Cambridge University Press: 17 September 2021
Abstract
The main aim of this article is to show that normalised standard intertwining operator between induced representations of p-adic groups, at a very specific point of evaluation, has an arithmetic origin. This result has applications to Eisenstein cohomology and the special values of automorphic L-functions.
MSC classification
Secondary:
22E55: Representations of Lie and linear algebraic groups over global fields and adèle rings
11F67: Special values of automorphic $L$-series, periods of modular forms, cohomology, modular symbols
11F70: Representation-theoretic methods; automorphic representations over local and global fields
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- © Canadian Mathematical Society 2021
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