Commit 2025-02-27 19:23 ed6582d3
View on Github →feat(RepresentationTheory/GroupCohomology/Functoriality): add functoriality (#21756)
Given a commutative ring k
, a group homomorphism f : G →* H
, a k
-linear H
-representation A
, a k
-linear G
-representation B
, and a representation morphism Res(f)(A) ⟶ B
, we get a cochain map inhomogeneousCochains A ⟶ inhomogeneousCochains B
and hence maps on cohomology Hⁿ(H, A) ⟶ Hⁿ(G, B)
. We also provide extra API for these maps in degrees 0, 1, 2.
In a subsequent PR we will add support for switching resolution.