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On the Eisenstein cohomology of odd orthogonal groups
-
Gerald Gotsbacher
and
Harald Grobner
Published/Copyright:
March 1, 2013
Abstract.
The paper investigates a significant part of the automorphic, in
fact of the so-called Eisenstein cohomology of split odd orthogonal
groups over 
. The main result provides a description of residual
and regular Eisenstein cohomology classes for maximal
parabolic -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.
Keywords: Cohomology of arithmetic groups; Eisenstein cohomology; cuspidal automorphic representation; Eisenstein series
Received: 2010-04-09
Published Online: 2013-03-01
Published in Print: 2013-03-01
© 2013 by Walter de Gruyter Berlin Boston
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Keywords for this article
Cohomology of arithmetic groups;
Eisenstein cohomology;
cuspidal automorphic representation;
Eisenstein series
Articles in the same Issue
- Masthead
- Non-Lipschitz flow of the nonlinear Schrödinger equation on surfaces
- Gradient estimate of a Dirichlet eigenfunction on a compact manifold with boundary
- A composite map in the stable homotopy groups of spheres
- Length functions, multiplicities and algebraic entropy
- On the Eisenstein cohomology of odd orthogonal groups
- Complex Osserman Kähler manifolds in dimension four
- Mixed multiplicities of multigraded modules
- On the number of maximal chain transitive sets in fiber bundles
- 2-primary factorizations of power maps through the double suspension
- Imprecise probabilities, bets and functional analytic methods in Łukasiewicz logic
