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In mathematics, group cohomology is a set of mathematical tools used to study groups using cohomology theory, a technique from algebraic topology. Analogous to group representations, group cohomology looks at the group actions of a group G in an associated G-module M to elucidate the properties of the group.
5
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1
answer
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Eisenstein cohomology - explicit computation and relation to Franke's trace formula
Let $G$ be a reductive group over $\mathbb{Q}_p$. Let $X_G$ be a locally symmetric space associated to the group $G$, and let $\partial X_G$ be the Borel-Serre boundary of $X_G$. The space $\partial …
3
votes
Accepted
Eisenstein cohomology - explicit computation and relation to Franke's trace formula
After rereading section 4 of On the Eisenstein Cohomology of Arithmetric
Groups by Schwermer and Li, I think I understand this now.
If $\lambda$ is sufficiently regular, then there is an isomorphism
…