A description of automorphism groups of all two-dimensional algebras over any basic field

TL;DR

This paper classifies the automorphism groups of all two-dimensional algebras over any basic field, providing a comprehensive understanding of their symmetries and structural properties.

Contribution

It offers a complete description of automorphism groups for all two-dimensional algebras over arbitrary fields, extending previous classifications.

Findings

Explicit automorphism groups for each algebra class

Unified framework applicable over any basic field

Enhanced understanding of algebraic symmetries

Abstract

A description of group automorphisms of all two-dimensional algebras, considered up to isomorphism, over any basic field is provided.