Eisenstein cohomology for congruence subgroups of SO(n,2)
G. Gotsbacher
TL;DR
This paper constructs regular Eisenstein cohomology classes for congruence subgroups of SO(n,2), advancing understanding of automorphic cohomology decomposition in this setting.
Contribution
It provides a new explicit construction of Eisenstein cohomology classes for specific congruence subgroups of SO(n,2).
Findings
Constructed regular Eisenstein cohomology classes for G of Q-rank 2
Enhanced understanding of automorphic cohomology decomposition
Applied to congruence subgroups of SO(n,2)
Abstract
The automorphic cohomology of a connected reductive algebraic group defined over Q decomposes as a direct algebraic sum of cuspidal and Eisenstein cohomology. In the present paper we construct regular Eisenstein cohomology classes for congruence subgroups of a rational form G of Q-rank 2 of SO(n,2).
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Finite Group Theory Research