Hypergroups and Hypergroup Algebras

TL;DR

This survey explores the theory of hypergroups and hypergroup algebras, focusing on their constructions, representations, and potential future developments in the field.

Contribution

It provides a comprehensive overview of hypergroups, including their ideas, constructions, results, and the representation theory of hypergroup algebras.

Findings

Overview of hypergroup concepts and constructions

Analysis of continuous representations of hypergroup algebras

Discussion of prospects and future directions in hypergroup theory

Abstract

The survey contains a brief description of the ideas, constructions, results, and prospects of the theory of hypergroups and generalized translation operators. Representations of hypergroups are considered, being treated as continuous representations of topological hypergroup algebras.