Kac-Moody Groups and Their Representations

TL;DR

This paper reviews recent developments in the theory of representations of Kac-Moody groups, including their construction, key theorems, and open questions in the field.

Contribution

It provides an overview of recent results on Kac-Moody group representations, highlighting new insights and open problems.

Findings

Construction methods for Kac-Moody groups

Sketches of proof ideas for key theorems

Open questions in the field

Abstract

In this expository paper we review some recent results about representations of Kac-Moody groups. We sketch the construction of these groups. If practical, we present the ideas behind the proofs of theorems. At the end we pose open questions.