Theorems · Definition · group theory
Matrix.GeneralLinearGroup
(n : Type u) → (R : Type v) → [DecidableEq n] → [Fintype n] → [Semiring R] → Type (max v u)
GL n R is the group of n by n R-matrices with unit determinant.
Defined as a subtype of matrices
- Cited by
- 556 results in Mathlib
- Foundations
- Depth 82 from the axioms, rests on 1,888 definitions · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqFintypeSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Cited by699
Results whose statement or proof uses this declaration.
- ModularFormstatement · cited by 98
- Matrix.SpecialLinearGroup.mapGLstatement · cited by 98
- UpperHalfPlane.denomstatement and proof · cited by 84
- Matrix.SpecialLinearGroup.toGLstatement · cited by 64
- ModularFormClassstatement · cited by 64
- Subgroup.strictPeriodsstatement and proof · cited by 63
- Matrix.GeneralLinearGroup.detstatement and proof · cited by 58
- Subgroup.HasDetPlusMinusOnestatement · cited by 57
- IsCuspstatement and proof · cited by 51
- SlashInvariantFormstatement · cited by 46
- Subgroup.IsArithmeticstatement · cited by 41
- CuspFormstatement · cited by 36
Showing the 200 most cited of 699.