The structure of simple noncommutative Jordan superalgebras

TL;DR

This paper classifies subalgebras, automorphisms, and derivations of certain simple noncommutative Jordan superalgebras, advancing understanding of their structure and symmetries.

Contribution

It provides a complete description of subalgebras, automorphisms, and derivations for specific classes of simple noncommutative Jordan superalgebras.

Findings

Classification of subalgebras for $K_3( ext{...})$ and $D_t( ext{...})$

Determination of automorphism groups for these superalgebras

Explicit computation of derivations for finite-dimensional cases

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.