[Merged by Bors] - feat(RepresentationTheory/Homological/GroupHomology/LowDegree): add IsCycle₁ predicate and friends#25884
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IsOneCycle predicate and friendsIsCycle₁ predicate and friends
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Mathlib/RepresentationTheory/Homological/GroupHomology/LowDegree.lean
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🚀 Pull request has been placed on the maintainer queue by kbuzzard. |
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Thanks! bors d+ |
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✌️ 101damnations can now approve this pull request. To approve and merge a pull request, simply reply with |
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Are you planning to PR the classic formulation of Hilbert 90? We have it in flt-regular, and it should be easy now. |
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Sure, I'll do that today |
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…IsCycle₁` predicate and friends (#25884) Given an additive abelian group `A` with an appropriate scalar action of `G`, we provide support for turning a finsupp `f : G →₀ A` satisfying the 1-cycle identity into an element of the `cycles₁` of the representation on `A` corresponding to the scalar action. We also do this for 0-boundaries, 1-boundaries, 2-cycles and 2-boundaries. We follow the structure of `RepresentationTheory/Homological/GroupCohomology/LowDegree.lean`. Co-authored-by: Amelia Livingston <al3717@ic.ac.uk>
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IsCycle₁ predicate and friendsIsCycle₁ predicate and friends
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…IsCycle₁` predicate and friends (leanprover-community#25884) Given an additive abelian group `A` with an appropriate scalar action of `G`, we provide support for turning a finsupp `f : G →₀ A` satisfying the 1-cycle identity into an element of the `cycles₁` of the representation on `A` corresponding to the scalar action. We also do this for 0-boundaries, 1-boundaries, 2-cycles and 2-boundaries. We follow the structure of `RepresentationTheory/Homological/GroupCohomology/LowDegree.lean`. Co-authored-by: Amelia Livingston <al3717@ic.ac.uk>
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…IsCycle₁` predicate and friends (leanprover-community#25884) Given an additive abelian group `A` with an appropriate scalar action of `G`, we provide support for turning a finsupp `f : G →₀ A` satisfying the 1-cycle identity into an element of the `cycles₁` of the representation on `A` corresponding to the scalar action. We also do this for 0-boundaries, 1-boundaries, 2-cycles and 2-boundaries. We follow the structure of `RepresentationTheory/Homological/GroupCohomology/LowDegree.lean`. Co-authored-by: Amelia Livingston <al3717@ic.ac.uk>
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…IsCycle₁` predicate and friends (leanprover-community#25884) Given an additive abelian group `A` with an appropriate scalar action of `G`, we provide support for turning a finsupp `f : G →₀ A` satisfying the 1-cycle identity into an element of the `cycles₁` of the representation on `A` corresponding to the scalar action. We also do this for 0-boundaries, 1-boundaries, 2-cycles and 2-boundaries. We follow the structure of `RepresentationTheory/Homological/GroupCohomology/LowDegree.lean`. Co-authored-by: Amelia Livingston <al3717@ic.ac.uk>
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Given an additive abelian group
Awith an appropriate scalar action ofG, we provide support for turning a finsuppf : G →₀ Asatisfying the 1-cycle identity into an element of thecycles₁of the representation onAcorresponding to the scalar action. We also do this for 0-boundaries, 1-boundaries, 2-cycles and 2-boundaries. We follow the structure ofRepresentationTheory/Homological/GroupCohomology/LowDegree.lean.Action.rhoaMonoidHominstead of a morphism inMonCat#21652Finsupp#21732Rep.diagonal k G (n + 1) ≅ Rep.free k G (Fin n → G)#21736This PR continues the work from #21757.
Original PR: #21757