Cuspidal cohomology for GL(n) over a number field
Abstract
The main result of this article proves the nonvanishing of cuspidal cohomology for GL(n) over a number field which is Galois over its maximal totally real subfield. The proof uses the internal structure of a strongly-pure weight that can possibly support cuspidal cohomology and the foundational work of Borel, Labesse, and Schwermer.
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