Theorems · Definition · nonassociative algebras
LieAlgebra.Basis.f
{ι : Type u_1} →
{R : Type u_2} →
{L : Type u_3} →
[inst : Finite ι] →
[inst_1 : CommRing R] →
[inst_2 : LieRing L] → [inst_3 : LieAlgebra R L] → {H : LieSubalgebra R L} → LieAlgebra.Basis ι H → ι → LThe generators of the lower Borel subalgebra.
- Defined in
- Mathlib.Algebra.Lie.Basis.Basic
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
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
- Finitestatement and proof · cited by 3,029
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- LieSubalgebrastatement and proof · cited by 418
- LieAlgebra.Basisstatement and proof · cited by 44
Cited by14
Results whose statement or proof uses this declaration.
- LieAlgebra.Basis.symmproof · cited by 9
- LieAlgebra.Basis.borelLowerproof · cited by 4
- LieAlgebra.Basis.iSup_cartan_borelLower_borelUpper_eq_topproof · cited by 4
- LieAlgebra.Basis.sl2statement · cited by 2
- LieAlgebra.Basis.symm_estatement · cited by 2
- LieAlgebra.Basis.extstatement and proof · cited by 2
- LieAlgebra.Basis.baseSupp_apply_smul_fstatement and proof · cited by 1
- LieAlgebra.Basis.span_efstatement · cited by 1
- LieAlgebra.Basis.symm_fstatement and proof · cited by 1
- LieAlgebra.Basis.coroot_eq_h'proof · cited by 1
- LieAlgebra.Basis.lie_e_f_nestatement · cited by 0
- LieAlgebra.Basis.lie_h_fstatement · cited by 0