Theorems · Definition · group theory
Matrix.SpecialLinearGroup.toGL
{n : Type u} →
[inst : DecidableEq n] →
[inst_1 : Fintype n] → {R : Type v} → [inst_2 : CommRing R] → Matrix.SpecialLinearGroup n R →* GL n RtoGL is the map from the special linear group to the general linear group.
- Cited by
- 64 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqFintypeCommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Fintypestatement and proof · cited by 7,736
- Matrixstatement · cited by 4,303
- MonoidHomstatement · cited by 3,629
- Matrix.GeneralLinearGroupstatement · cited by 556
- Matrix.SpecialLinearGroupstatement and proof · cited by 348
Cited by69
Results whose statement or proof uses this declaration.
- Matrix.SpecialLinearGroup.mapGLproof · cited by 98
- Matrix.SpecialLinearGroup.coeToGL_detstatement · cited by 10
- ModularForm.weakFEPairproof · cited by 9
- EisensteinSeries.D2proof · cited by 8
- Matrix.SpecialLinearGroup.toGLPosproof · cited by 7
- ModularForm.SL_slash_applystatement and proof · cited by 7
- ModularGroup.im_smul_eq_div_normSqstatement and proof · cited by 6
- ModularGroup.SL_neg_smulproof · cited by 5
- Matrix.SpecialLinearGroup.toGL_injectivestatement · cited by 3
- ModularForm.SL_slashstatement · cited by 3
- ModularGroup.exists_smul_mem_fdproof · cited by 2
- Matrix.SpecialLinearGroup.isEmbedding_toGLstatement · cited by 2