On the Eisenstein cohomology of odd orthogonal groups

Details On the Eisenstein cohomology of odd orthogonal groups On the Eisenstein cohomology of odd orthogonal groups

2009-04-16

arxiv.org/abs/0904.2562v2

Mathematics

Number Theory

21 pages, some minor corrections made, journal reference added

Scientific paper

10.1515/FORM.2011.118

The paper investigates a significant part of the automorphic, in fact of the so-called Eisenstein cohomology of split odd orthogonal groups over Q. The main result provides a description of residual and regular Eisenstein cohomology classes for maximal parabolic Q-subgroups in case of generic cohomological cuspidal automorphic representations of their Levi subgroups. That is, such identifying necessary conditions on these latter representations as well as on the complex parameters in order for the associated Eisenstein series to possibly yield non-trivial classes in the automorphic cohomology.

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