Theorems · Theorem · nonassociative algebras

LieAlgebra.Basis.sl2

∀ {ι : Type u_1} {R : Type u_2} {L : Type u_3} [inst : Finite ι] [inst_1 : CommRing R] [inst_2 : LieRing L]
  [inst_3 : LieAlgebra R L] {H : LieSubalgebra R L} (self : LieAlgebra.Basis ι H) (i : ι),
  IsSl2Triple (self.h i) (self.e i) (self.f i)

Defined in

Mathlib.Algebra.Lie.Basis.Basic

Cited by

2 results in Mathlib

Foundations

Depth 5 from the axioms · uses no axioms

Assumes

FiniteCommRingLieRingLieAlgebra