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b797a5b | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 | import Mathlib
import OAI.NumberTheory.PrimePackets.AdelicDiagonalizerDefinitions
import OAI.NumberTheory.PrimePackets.AdelicHaarExistence
import OAI.NumberTheory.PrimePackets.AdelicProbability
namespace OAI
noncomputable section
open scoped TensorProduct Topology MatrixGroups
open Matrix Module Set MeasureTheory
namespace PrimeDegreePackets.Adelic
def generalAdelicOrbit {n : ℕ} {K : Type*} [Field K] [NumberField K]
(b : Basis (Fin n) ℚ K) (h : PGL(Fin n, ℝ))
(g : GL (Fin n) RationalFiniteAdeles) (t : (TensorAdeles K)ˣ) : AmbientQuotient n :=
DoubleCoset.mk (rationalProjectiveGroup n) (finiteProjectiveIntegral n)
(adelicRegular b t * (h,ProjGenLinGroup.mk g))
end PrimeDegreePackets.Adelic
end
end OAI
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