Theorems · Definition · nonassociative algebras
LieModule.Cohomology.oneCochain
(R : Type u_1) →
[inst : CommRing R] →
(L : Type u_2) →
[inst_1 : LieRing L] →
[LieAlgebra R L] → (M : Type u_3) → [inst_3 : AddCommGroup M] → [Module R M] → Type (max u_2 u_3)Lie algebra 1-cochains over L with coefficients in the module M.
- Defined in
- Mathlib.Algebra.Lie.Cochain
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- RingHom.idproof · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapproof · cited by 10,215
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
Cited by12
Results whose statement or proof uses this declaration.
- LieModule.Cohomology.d₁₂statement and proof · cited by 8
- LieAlgebra.Extension.oneCochainOfTwoSplittingstatement · cited by 3
- LieModule.Cohomology.d₁₂_apply_coe_apply_applystatement and proof · cited by 2
- LieAlgebra.LieEquiv.ofCoboundarystatement and proof · cited by 2
- LieModule.Cohomology.d₁₂.congr_simpstatement · cited by 0
- LieAlgebra.Extension.d₁₂_oneCochainOfTwoSplittingstatement · cited by 0
- LieModule.Cohomology.d₁₂_apply_applystatement and proof · cited by 0
- LieModule.Cohomology.d₁₂_apply_apply_ofTrivialstatement and proof · cited by 0
- LieAlgebra.Extension.oneCochainOfTwoSplitting.congr_simpstatement · cited by 0
- LieModule.Cohomology.d₂₃_comp_d₁₂statement and proof · cited by 0
- LieAlgebra.LieEquiv.ofCoboundary_invFunstatement and proof · cited by 0
- LieAlgebra.LieEquiv.ofCoboundary_toFunstatement and proof · cited by 0