Embeddings of hyperbolic Kac-Moody algebras into $\mathbf{E_{10}}$}

Viswanath, Sankaran

Embeddings of hyperbolic Kac-Moody algebras into $\mathbf{E_{10}}$}

Authors

Description

We show that the rank 10 hyperbolic Kac-Moody algebra $E_{10}$ contains every simply laced hyperbolic Kac-Moody algebra as a Lie subalgebra. Our method is based on an extension of earlier work of Feingold and Nicolai.
10 pages. to appear in Letters in Mathematical Physics