Representation Theory of Polyadic Groups

TL;DR

This paper introduces the concept of representations for polyadic groups and explores their relationships with representations of related structures like retract and covering groups.

Contribution

It presents a new framework for understanding polyadic group representations and links them to existing group representation theories.

Findings

Established a formal definition of polyadic group representations

Connected polyadic representations to retract and covering group representations

Provided foundational results for future research in polyadic group theory

Abstract

In this article, we introduce the notion of representations of polyadic groups and we investigate the connection between these representations and those of retract groups and covering groups.