Invariants and Automorphisms for slice regular functions : the octonionic case

TL;DR

This paper investigates the automorphisms and invariants of octonionic slice regular functions, expanding understanding of their algebraic structure and symmetries within the octonions.

Contribution

It introduces new automorphisms and invariants specific to octonionic slice regular functions, a novel extension in the field of hypercomplex analysis.

Findings

Identified automorphisms of octonionic slice regular functions

Defined invariants under these automorphisms

Enhanced understanding of octonionic function symmetries

Abstract

We study automorphisms and invariants for the algebra $\mathbb{O}$ of octonions and octonionic slice regular functions $f:\mathbb{O} \to \mathbb{O}$.