Theorems · Definition · nonassociative algebras

LieAlgebra.LoopAlgebra.toFinsupp

(R : Type u_1) →
  (A : Type u_2) →
    (L : Type u_3) →
      [inst : CommRing R] → [inst_1 : LieRing L] → [inst_2 : LieAlgebra R L] → LieAlgebra.loopAlgebra R A L ≃ₗ[R] A →₀ L

A linear isomorphism to finitely supported functions.

Defined in

Mathlib.Algebra.Lie.Loop

Cited by

3 results in Mathlib

Foundations

Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingLieRingLieAlgebra