Commit 2025-07-11 11:47 a5799a9e
View on Github →feat(RepresentationTheory/Homological/GroupHomology/LowDegree): Identify cycles A n
with cyclesₙ A
for n = 0, 1, 2
(#25888)
Given a k
-linear G
-representation A
, this PR provides isomorphisms between:
- The abstract 0-cycles of
A
andA
as ak
-module - The abstract 0-opcycles of
A
andA_G
- The abstract 1-cycles of
A
and thecycles₁ A
defined as a submodule ofG →₀ A
- The abstract 2-cycles of
A
and thecycles₂ A
defined as a submodule ofG × G →₀ A
.