Theorems · Theorem · nonassociative algebras
skewAdjointLieSubalgebraEquiv_symm_apply
∀ {R : Type u} {M : Type v} [inst : CommRing R] [inst_1 : AddCommGroup M] [inst_2 : Module R M]
(B : LinearMap.BilinForm R M) {N : Type w} [inst_3 : AddCommGroup N] [inst_4 : Module R N] (e : N ≃ₗ[R] M)
(f : ↥(skewAdjointLieSubalgebra B)), ↑((skewAdjointLieSubalgebraEquiv B e).symm f) = e.symm.lieConj ↑f- Defined in
- Mathlib.Algebra.Lie.SkewAdjoint
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 53 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites19
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- DFunLike.coestatement and proof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement and proof · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- LinearEquivstatement and proof · cited by 3,317
- LinearEquiv.symmstatement and proof · cited by 1,461
- LinearEquiv.toLinearMapstatement · cited by 1,171
- Module.Endstatement and proof · cited by 774
- LinearMap.BilinFormstatement and proof · cited by 501
- LieSubalgebrastatement · cited by 418
- LieRing.ofAssociativeRingstatement · cited by 227
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