Minicourse on Kac-Moody groups

TL;DR

This minicourse provides an accessible overview of Kac-Moody groups, summarizing key concepts and referencing a comprehensive book, aimed at readers with some background in Kac-Moody algebras.

Contribution

It offers a concise, informal introduction to Kac-Moody groups based on existing literature, suitable for workshop attendees and those with prior algebra knowledge.

Findings

Summarizes core concepts of Kac-Moody groups

Provides references for further study

Serves as an educational resource

Abstract

These are informal lecture notes for a three-hour minicourse on Kac-Moody groups, given at the workshop "Kac-Moody geometry" in July 2023 in Kiel. They provide a concise overview of the book "An introduction to Kac-Moody groups over fields", EMS Textbooks in Mathematics (2018). They assume a previous familiarity with the (very) basics of Kac-Moody algebras. For readers unfamiliar with the latter topic, short "Prerequisites" notes (referenced within the text) are also freely available.