# Irreducibility of the Wysiwyg representations of Thompson's groups

## TL;DR

This paper proves that specific unitary representations of Thompson's groups F and T are irreducible and mutually inequivalent, advancing understanding of their structure.

## Contribution

It establishes irreducibility and inequivalence of certain Wysiwyg representations of Thompson's groups F and T.

## Key findings

- Proved irreducibility of specific representations
- Established mutual inequivalence of these representations
- Enhanced understanding of Thompson's groups' representation theory

## Abstract

We prove irreducibility and mutual inequivalence for certain unitary representations of R. Thompson's groups F and T.