Quadratic Malcevsuperalgebras

A quadratic Malcevsuperalgebra is a Malcevsuperalgebra with a non-degenerate supersymmetric even invariant bilinear form B; B is called an invariant scalar product on M. In this paper, we obtain the inductive classifications of quadratic Malcev algebras and of Malcevsuperalgebras such that is a reductive Malcev algebra and the action of the on is completely reducible.