Theorems · Definition · linear algebra

exteriorPower.alternatingMapToDual

(R : Type u_1) →
  (M : Type u_2) →
    [inst : CommRing R] →
      [inst_1 : AddCommGroup M] →
        [inst_2 : Module R M] → (n : ℕ) → Module.Dual R M [⋀^Fin n]→ₗ[R] Module.Dual R ↥(⋀[R]^n M)

The canonical n-alternating map from the dual of the R-module M to the dual of ⋀[R]^n M.

Defined in

Mathlib.LinearAlgebra.ExteriorPower.Pairing

Cited by

2 results in Mathlib

Foundations

Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupModule