# Invariants of PSL(n,R)-Fuchsian representations and a slice of Hitchin components

## TL;DR

This paper investigates properties of invariants in PSL(n,R)-Fuchsian representations and demonstrates that the Fuchsian locus in Hitchin components forms a slice, using the Bonahon-Dreyer parameterization.

## Contribution

It introduces new insights into the invariants of PSL(n,R)-Fuchsian representations and characterizes the Fuchsian locus within Hitchin components as a slice.

## Key findings

- Properties of triangle and shearing invariants analyzed
- Fuchsian locus in Hitchin components identified as a slice
- Application of Bonahon-Dreyer parameterization

## Abstract

In this paper we show some properties of triangle invariants and shearing invariants of PSL(n,R)-Fuchsian representations. Moreover, using the Bonahon-Dreyer parameterization, we show that the Fuchsian locus of Hitchin components corresponds to a slice.