# Kac-Moody algebra

> English word · Noun

## Definitions
1. A Lie algebra, usually infinite-dimensional, that can be defined by generators and relations through a generalized Cartan matrix. They have applications in theoretical physics.

## Etymology
Named after Victor Kac and Robert Moody, who independently discovered them.

## Source
Compiled from Wiktionary via kaikki.org (CC BY-SA). Data vintage: 2026-05-06.
Canonical page: https://plainspell.com/en/word/kac-moody-algebra