nLab
E10

Idea

A hyperbolic Kac-Moody Lie algebra in the E-series

… E6, E7, E8, E9, $E_{10}$, E11, …

References

General

Lecture notes include

• Hermann Nicolai, Infinite dimensional symmetries (2009) (pdf)

The fact that every simply laced hyperbolic Kac-Moody algebra is a sub Lie algebra of $E_{10}$ is due to

• Sankaran Viswanath, Embeddings of hyperbolic Kac-Moody algebras into $E_{10}$ (pdf)

Relation to supergravity

U-duality, exceptional generalized geometry of supergravity.

Reviews include

• Hermann Nicolai, Wonders of $E_{10}$ and $K(E_{10})$ (2008) (pdf)