On complex nilpotent Leibniz superalgebras of nilindex n+m

TL;DR

This paper classifies complex nilpotent Leibniz superalgebras with a specific nilindex and characteristic sequence, providing a detailed description up to isomorphism based on their even and odd parts.

Contribution

It offers a comprehensive classification of Leibniz superalgebras with given nilindex and characteristic sequence, expanding understanding of their structure.

Findings

Complete description of Leibniz superalgebras with nilindex n+m

Classification up to isomorphism based on characteristic sequence

Explicit characterization of even and odd parts

Abstract

We present the description up to isomorphism of Leibniz superalgebras with characteristic sequence $(n|m_1,...,m_k)$ and nilindex $n+m,$ where $m=m_1+ >...+m_k,$ $n$ and $m$ ($m\neq 0$) are dimensions of even and odd parts, respectively.