Theorems · Definition · nonassociative algebras

LieModule.Cohomology.twoCocycle

(R : Type u_1) →
  [inst : CommRing R] →
    (L : Type u_2) →
      [inst_1 : LieRing L] →
        [inst_2 : LieAlgebra R L] →
          (M : Type u_3) →
            [inst_3 : AddCommGroup M] →
              [inst_4 : Module R M] →
                [inst_5 : LieRingModule L M] → [LieModule R L M] → Submodule R ↥(LieModule.Cohomology.twoCochain R L M)

A Lie 2-cocycle is a 2-cochain that is annihilated by the coboundary map.

Defined in

Mathlib.Algebra.Lie.Cochain

Cited by

23 results in Mathlib

Foundations

Depth 45 from the axioms · uses propext, Quot.sound

Assumes

CommRingLieRingLieAlgebraAddCommGroupModuleLieRingModuleLieModule