On the Eisenstein cohomology of odd orthogonal groups

On the Eisenstein cohomology of odd orthogonal groups
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奇正交群的爱森斯坦上同调

DOI:
10.1515/form.2011.118
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发表时间:
2009
期刊:
--
影响因子:
--
通讯作者:
H. Grobner
H. Grobner
中科院分区:
--
文献类型:
--
作者:
G. Gotsbacher;H. Grobner

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抽象的。本文研究了自守的重要部分,实际上是分裂奇正交群的所谓爱森斯坦上同调。主要结果提供了极大抛物子群的剩余和正则Eisenstein上同调类的一个描述,在一般的上同调尖点自守表示的情况下,他们的Levi子群。也就是说,这样的识别必要条件,这些后者表示以及对复杂的参数,以使相关的爱森斯坦级数可能产生非平凡类的自守上同调。
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.
古典群的朗兰兹函子性
DOI: --
发表时间: 2008
期刊:
影响因子: --
作者:
K. Hiraga;A. Ichino;T. Ikeda;A. Nomura;平賀郁;A. Nomura;平賀郁;A. Nomura;平賀郁;平賀郁
通讯作者: 平賀郁