Commit 2025-07-11 11:47 a5799a9e

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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 and A as a k-module
  • The abstract 0-opcycles of A and A_G
  • The abstract 1-cycles of A and the cycles₁ A defined as a submodule of G →₀ A
  • The abstract 2-cycles of A and the cycles₂ A defined as a submodule of G × G →₀ A.

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