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| public import Mathlib.RepresentationTheory.Homological.GroupCohomology.LongExactSequence | ||
| public import Mathlib.RepresentationTheory.Induced | ||
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| public import Mathlib |
kbuzzard
reviewed
Apr 6, 2026
| -- /-- | ||
| -- The restriction functor `Rep R G ⥤ Rep R H` for a subgroup `H` of `G`. | ||
| -- -/ | ||
| -- def res (f : H →* G) : Rep R G ⥤ Rep R H := Action.res (ModuleCat R) f |
kbuzzard
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| instance : (res% R f).IsRightAdjoint := | ||
| (indResAdjunction' R f).isRightAdjoint | ||
| -- instance : (res% R f).IsRightAdjoint := | ||
| -- (indResAdjunction' R f).isRightAdjoint |
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Remove all this dead code? Unless you need it for some reason?
kbuzzard
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| (M ↓ e.toMonoidHom).norm.hom = M.norm.hom := by | ||
| section | ||
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| set_option linter.unusedFintypeInType false |
kbuzzard
reviewed
Apr 6, 2026
| public import Mathlib.Data.Finsupp.Notation | ||
| public import Mathlib.FieldTheory.Galois.NormalBasis | ||
| public import Mathlib.RepresentationTheory.FiniteIndex | ||
| public import Mathlib |
kbuzzard
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| -- The map `coind₁'_ι` intertwines a representation `ρ` of `G` on `V` with the | ||
| -- representation `ρ.coind₁'` of `G` on `G → V`. | ||
| -- -/ | ||
| -- lemma coind₁'_ι_comm (g : G) : coind₁' ρ g ∘ₗ coind₁'_ι = coind₁'_ι ∘ₗ ρ g := by ext; simp |
kbuzzard
reviewed
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| Representation.coind₁AsPi_apply, Pi.ofNat_apply] | ||
| -- This is equivalent to... | ||
| change ∀ f : G → A, (∀ x, ∑ h : H, f (x * h) = 0) → f ∈ Representation.Coinvariants.ker _ | ||
| -- change ∀ f : G → A, (∀ x, ∑ h : H, f (x * h) = 0) → f ∈ Representation.Coinvariants.ker _ |
kbuzzard
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| simp only [res_obj_V, res_obj_ρ, AddSubmonoidClass.coe_finset_sum, SetLike.val_smul, | ||
| coe_finset_sum, coe_smul, Finset.sum_apply, Pi.smul_apply, single_apply, Finset.sum_boole, | ||
| smul_eq_mul] | ||
| -- intro a |
kbuzzard
reviewed
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| -- instance : HasForget₂ (Rep.{w} k G) Ab where | ||
| -- forget₂ := forget₂ (Rep k G) (ModuleCat k) ⋙ (forget₂ _ _) | ||
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| -- instance : (forget₂ (Rep.{w} k G) Ab).Additive := ⟨rfl⟩ |
kbuzzard
reviewed
Apr 6, 2026
| (forget₂ (Rep k G) (ModuleCat k)).map f = f.hom := rfl | ||
| -- @[simp] | ||
| -- lemma Rep.forget₂_map {M N : Rep k G} (f : M ⟶ N) : | ||
| -- (forget₂ (Rep k G) (ModuleCat k)).map f = f.hom := rfl |
kbuzzard
reviewed
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| public import Mathlib.RepresentationTheory.Basic | ||
| public import Mathlib.RepresentationTheory.Rep | ||
| public import Mathlib.Data.Finsupp.Single | ||
| -- public import Mathlib.RepresentationTheory.Basic |
kbuzzard
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| -- instance : | ||
| -- MulActionHomClass (Action.HomSubtype (ModuleCat R) G (leftRegular R G) (trivial R G R)) | ||
| -- R (leftRegular R G) (trivial R G R) where | ||
| -- map_smulₛₗ f := map_smul f.val |
kbuzzard
reviewed
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| import ClassFieldTheory.Mathlib.Topology.Algebra.Ring.Basic | ||
| import ClassFieldTheory.Mathlib.Topology.Algebra.Valued.NormedValued | ||
| import ClassFieldTheory.Mathlib.Topology.Algebra.Valued.ValuativeRel | ||
| import ClassFieldTheory.Tactic.Dualize |
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Did you intend to stop using the module system?
kbuzzard
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Apr 6, 2026
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