Kac–Moody algebra
Álgebra de Kac-Moody
- Date
- 1968 · confidence high
- Place
- Moscow, Russia
- Credited to
- Victor Kac
- Field
- Knowledge & symbols
What was discovered
A Lie algebra, usually infinite-dimensional, defined by generators and relations through a generalized Cartan matrix; discovered independently and simultaneously by Victor Kac and Robert Moody in 1968.
What it led to
- Development of representation theory for infinite-dimensional algebras
- Applications in theoretical physics (string theory, integrable systems)
- Generalization of the classification of simple Lie algebras