  Lie-Yamaguti algebras (or generalized Lie triple systems) are binary-ternary
algebras intimately related to reductive homogeneous spaces. The Lie-Yamaguti
algebras which are irreducible as modules over their inner derivation algebras
are the algebraic counterpart of the isotropy irreducible homogeneous spaces.
  These systems splits into three disjoint types: adjoint type, non-simple type
and generic type. The systems of the first two types were classified in a
previous paper through a generalized Tits Construction of Lie algebras. In this
paper, the Lie-Yamaguti algebras of generic type are classified by relating
them to several other nonassociative algebraic systems: Lie and Jordan algebras
and triple systems, Jordan pairs or Freudenthal triple systems.
