Theorems · Definition · nonassociative algebras
LieAlgebra.LieCharacter
(R : Type u) → (L : Type v) → [inst : CommRing R] → [inst_1 : LieRing L] → [LieAlgebra R L] → Type (max v u)
A character of a Lie algebra is a morphism to the scalars.
- Defined in
- Mathlib.Algebra.Lie.Character
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 43 from the axioms · uses propext, Quot.sound
- Assumes
- CommRingLieRingLieAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- LieHomproof · cited by 382
Cited by6
Results whose statement or proof uses this declaration.
- LieAlgebra.lieCharacterEquivLinearDualstatement and proof · cited by 2
- LieAlgebra.lieCharacter_apply_liestatement and proof · cited by 1
- LieAlgebra.lieCharacterEquivLinearDual_applystatement and proof · cited by 0
- LieAlgebra.lieCharacterEquivLinearDual_symm_applystatement · cited by 0
- LieAlgebra.lieCharacter_apply_lie'statement and proof · cited by 0
- LieAlgebra.lieCharacter_apply_of_mem_derivedstatement and proof · cited by 0