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

Sankaran Viswanath

arxiv: 0801.2586 · v1 · submitted 2008-01-16 · 🧮 math.QA · math-ph· math.MP

Embeddings of hyperbolic Kac-Moody algebras into mathbf{E₁₀}}

Sankaran Viswanath This is my paper

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keywords hyperbolickac-moodyalgebraalgebrascontainsearlierembeddingsevery

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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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Embeddings of hyperbolic Kac-Moody algebras into mathbf{E₁₀}}

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