Theorems · Definition · nonassociative algebras
LieSubmodule.normalizer
{R : Type u_1} →
{L : Type u_2} →
{M : Type u_3} →
[inst : CommRing R] →
[inst_1 : LieRing L] →
[inst_2 : LieAlgebra R L] →
[inst_3 : AddCommGroup M] →
[inst_4 : Module R M] →
[inst_5 : LieRingModule L M] → [LieModule R L M] → LieSubmodule R L M → LieSubmodule R L MThe normalizer of a Lie submodule.
See also LieSubmodule.idealizer.
- Defined in
- Mathlib.Algebra.Lie.Normalizer
- Cited by
- 21 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- Set.ofPredproof · cited by 6,101
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- LieRingModulestatement and proof · cited by 727
- Bracket.bracketproof · cited by 642
- LieSubmodulestatement and proof · cited by 489
- LieModulestatement and proof · cited by 424
Cited by23
Results whose statement or proof uses this declaration.
- LieSubmodule.ucsproof · cited by 21
- LieSubalgebra.normalizerproof · cited by 19
- LieSubmodule.ucs_succstatement and proof · cited by 9
- LieSubmodule.mem_normalizerstatement · cited by 4
- LieSubmodule.ucs_le_of_normalizer_eq_selfstatement and proof · cited by 3
- LieSubalgebra.normalizer_eq_self_of_isCartanSubalgebrastatement and proof · cited by 3
- LieSubmodule.normalizer.congr_simpstatement and proof · cited by 2
- LieSubalgebra.coe_normalizer_eq_normalizerstatement · cited by 2
- LieSubmodule.le_normalizerstatement · cited by 2
- LieSubmodule.top_lie_le_iff_le_normalizerstatement and proof · cited by 2
- LieSubmodule.normalizer_monostatement and proof · cited by 2
- LieIdeal.idealizer_eq_normalizerstatement and proof · cited by 2