Infinite characters of type II on $SL_n(\mathbb{Z})$

TL;DR

This paper constructs uncountably many infinite characters of type II for the special linear group over integers, expanding the understanding of its representation theory.

Contribution

It introduces a method to explicitly construct uncountably many type II characters for $SL_n(Z)$, a novel contribution to the group's representation theory.

Findings

Uncountably many type II characters constructed

Advances understanding of $SL_n(Z)$ representations

Provides new tools for analyzing infinite characters

Abstract

We construct uncountably many infinite characters of type II for $SL_n(\mathbb{Z})$, $n \geq 2$.