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Pacific Journal of Mathematics
Article . 2016 . Peer-reviewed
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On the geometric construction of cohomology classes for cocompact discrete subgroups of SLn(ℝ) and SLn(ℂ)

Authors: Susanne Schimpf;

On the geometric construction of cohomology classes for cocompact discrete subgroups of SLn(ℝ) and SLn(ℂ)

Abstract

We construct nontrivial cohomology classes for certain cocompact discrete subgroups of SLn.R/ and SLn.C/ using a geometric method. The discrete subgroups are of arithmetic nature, i.e., they arise from arithmetic subgroups of suitably chosen algebraic groups. In certain cases, we show the nonvanishing of automorphic representations as a consequence.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
bronze