Theorems · Definition · number theory
ModularForm.CuspForm.equivCuspFormSubmodule
(Γ : Subgroup (GL (Fin 2) ℝ)) → (k : ℤ) → [inst : Γ.HasDetOne] → CuspForm Γ k ≃ₗ[ℂ] ↥(ModularForm.cuspFormSubmodule Γ k)
The cusp form submodule is linearly equivalent to the type of cusp forms.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 205 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Subgroup.HasDetOne
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- RingHom.idstatement · cited by 18,349
- Submodulestatement · cited by 7,192
- Complexstatement · cited by 5,565
- Matrixstatement · cited by 4,303
- Subgroupstatement and proof · cited by 3,593
- LinearEquivstatement · cited by 3,317
- Matrix.GeneralLinearGroupstatement and proof · cited by 556
- ModularFormstatement · cited by 98
- CuspFormstatement · cited by 36
- LinearEquiv.ofInjectiveproof · cited by 27
- Subgroup.HasDetOnestatement and proof · cited by 18
Cited by1
Results whose statement or proof uses this declaration.
- ModularForm.rank_eq_one_add_rank_cuspFormproof · cited by 3