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

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

2008-01-16

arxiv.org/abs/0801.2586v1

Mathematics

Quantum Algebra

10 pages. to appear in Letters in Mathematical Physics

Scientific paper

10.1007/s11005-007-0214-7

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.

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