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sorry free 074E
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Whysoserioushah committed Aug 18, 2024
1 parent b475b88 commit 5120941
Showing 1 changed file with 2 additions and 29 deletions.
31 changes: 2 additions & 29 deletions BrauerGroup/074E.lean
Original file line number Diff line number Diff line change
Expand Up @@ -469,34 +469,7 @@ abbrev endCatEquiv (n : ℕ) [NeZero n]
commutes' := by intros; ext; simp }
(AlgHom.ext $ fun _ => LinearMap.ext $ fun _ => by rfl)
(AlgHom.ext $ fun _ => LinearMap.ext $ fun _ => by rfl)
-- AlgEquiv.ofAlgHom
-- { toFun := fun f =>
-- { f with
-- map_smul' := fun a v => by
-- simp only [AddHom.toFun_eq_coe, LinearMap.coe_toAddHom, RingHom.id_apply]
-- rw [show a • v = wdb.symm a • v by change a • v = wdb (wdb.symm a) • v; simp, map_smul]
-- change wdb (wdb.symm a) • f v = _
-- simp }
-- map_one' := by rfl
-- map_mul' := by intros; ext; rfl
-- map_zero' := by rfl
-- map_add' := by intros; ext; rfl
-- commutes' := by intros; ext; simp }
-- { toFun := fun f =>
-- { f with
-- map_smul' := fun a b => by
-- simp only [AddHom.toFun_eq_coe, LinearMap.coe_toAddHom, RingHom.id_apply]
-- change f (wdb a • b) = wdb a • f b
-- rw [map_smul] }
-- map_one' := by rfl
-- map_mul' := by intros; ext; rfl
-- map_zero' := by rfl
-- map_add' := by intros; ext; rfl
-- commutes' := by intros; ext; simp }
-- (AlgHom.ext $ fun _ => LinearMap.ext $ fun _ => by rfl)
-- (AlgHom.ext $ fun _ => LinearMap.ext $ fun _ => by rfl)

#exit

set_option maxHeartbeats 500000 in
/--
074E (3) first part
Expand Down Expand Up @@ -552,7 +525,7 @@ def end_simple_mod_of_wedderburn (n : ℕ) [NeZero n]
haveI : E.inverse.Additive := CategoryTheory.Equivalence.inverse_additive E

let e₁ : Module.End A (Fin n → D) ≃ₐ[k] Module.End (Matrix (Fin n) (Fin n) D) (Fin n → D) :=
endCatEquiv k A n D wdb
endCatEquiv k A n D wdb $ fun _ _ => rfl

let e₂ : Module.End (Matrix (Fin n) (Fin n) D) (Fin n → D) ≃ₐ[k] Module.End D D :=
AlgEquiv.ofAlgHom
Expand Down

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