Theorems · Definition · nonassociative algebras
LieSubmodule.idealizer
{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 → LieIdeal R LThe idealizer of a Lie submodule.
See also LieSubmodule.normalizer.
- Defined in
- Mathlib.Algebra.Lie.Normalizer
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- LieIdealstatement · cited by 282
Cited by6
Results whose statement or proof uses this declaration.
- LieSubmodule.mem_idealizerstatement · cited by 3
- LieSubmodule.trace_eq_trace_restrict_of_le_idealizerstatement and proof · cited by 2
- LieIdeal.idealizer_eq_normalizerstatement and proof · cited by 2
- LieSubmodule.traceForm_eq_of_le_idealizerstatement and proof · cited by 1
- LieSubmodule.traceForm_eq_zero_of_isTrivialstatement and proof · cited by 1
- LieSubmodule.idealizer.congr_simpstatement and proof · cited by 0