On arithmetic subgroups of a Q-rank 2 form of SU(2, 2) and their automorphic cohomology

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概要

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• The cohomology H<SUP>*</SUP>(Γ, E) of an arithmetic subgroup Γ of a connected reductive algebraic group G defined over \mathQ can be interpreted in terms of the automorphic spectrum of Γ. In this frame there is a sum decomposition of the cohomology into the cuspidal cohomology ( i.e., classes represented by cuspidal automorphic forms for G) and the so called Eisenstein cohomology. The present paper deals with the case of a quasi split form G of \mathQ-rank two of a unitary group of degree four. We describe in detail the Eisenstein series which give rise to non-trivial cohomology classes and the cuspidal automorphic forms for the Levi components of parabolic \mathQ-subgroups to which these classes are attached. Mainly the generic case will be treated, i.e., we essentially suppose that the coefficient system E is regular.

• 社団法人 日本数学会の論文
• 2005-04-01

著者

• Schwermer Joachim

  Institut Fur Mathematik Universitat Wien

• HAYATA Takahiro

  Department of Informatics Yamagata University

関連論文

• On arithmetic subgroups of a Q-rank 2 form of SU(2, 2) and their automorphic cohomology

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