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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.