Theorems · Theorem · number theory
ModularForm.SL_slash
∀ {k : ℤ} (f : UpperHalfPlane → ℂ) (γ : Matrix.SpecialLinearGroup (Fin 2) ℤ),
SlashAction.map k γ f =
SlashAction.map k (Matrix.SpecialLinearGroup.toGL ((Matrix.SpecialLinearGroup.map (Int.castRingHom ℝ)) γ)) f- Cited by
- 3 results in Mathlib
- Foundations
- Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Realstatement · cited by 25,697
- Complexstatement and proof · cited by 5,565
- Matrixstatement · cited by 4,303
- MonoidHomstatement · cited by 3,629
- UpperHalfPlanestatement and proof · cited by 626
- Matrix.GeneralLinearGroupstatement · cited by 556
- Matrix.SpecialLinearGroupstatement and proof · cited by 348
- Int.castRingHomstatement · cited by 254
- Matrix.SpecialLinearGroup.mapstatement · cited by 77
- SlashAction.mapstatement · cited by 74
- Matrix.SpecialLinearGroup.toGLstatement · cited by 64
Cited by3
Results whose statement or proof uses this declaration.
- EisensteinSeries.G2_slash_actionproof · cited by 1
- ModularFormClass.bdd_at_infty_slashproof · cited by 1
- CuspFormClass.zero_at_infty_slashproof · cited by 0