The structure of simple noncommutative Jordan superalgebras

Abstract

In this paper we describe all subalgebras and automorphisms of simple noncommutative Jordan superalgebras $K_3(\alpha ,\beta ,\gamma )$ and $D_t(\alpha ,\beta ,\gamma )$ and compute the derivations of the nontrivial simple finite-dimensional noncommutative Jordan superalgebras.

References in corpus (2)

• A characterization of nilpotent nonassociative algebras by invertible Leibniz-derivations
• Jordan algebras admitting derivations with invertible values

Cited by in corpus (2)

• Non-associative algebraic structures: classification and structure
• The algebraic and geometric classification of nilpotent noncommutative Jordan algebras