nLab
E10

Context

Group Theory

Lie theory

∞-Lie theory

Background

Smooth structure

Higher groupoids

Lie theory

∞-Lie groupoids

∞-Lie algebroids

Formal Lie groupoids

Cohomology

Homotopy

Examples

\infty-Lie groupoids

\infty-Lie groups

\infty-Lie algebroids

\infty-Lie algebras

Contents

Idea

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

E6, E7, E8, E9, E 10E_{10}, E11,

References

General

Lecture notes include

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

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

Relation to supergravity

U-duality, exceptional generalized geometry of supergravity.

Reviews include

Revised on September 2, 2013 23:03:57 by Urs Schreiber (89.204.130.58)