On the theta representations of finite inverse monoids

TL;DR

This paper explores the structure of theta representations in finite inverse monoids, extending Clifford-Mackey-Rieffel's theory to this algebraic context.

Contribution

It introduces new results on theta representations specifically for finite inverse monoids, expanding the theoretical framework.

Findings

Extended Clifford-Mackey-Rieffel's theory to finite monoids

Proved new results on theta representations of finite inverse monoids

Enhanced understanding of algebraic structures in monoid theory

Abstract

(I) We study Clifford-Mackey-Rieffel's theory for finite monoid; (II) We prove some results of Theta Representations of finite inverse monoids.