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Embeddings of Hyperbolic Kac–Moody Algebras into E 10

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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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  1. Department of Mathematics, Penn State University, University Park, PA, 16802, USA

    Sankaran Viswanath

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  1. Sankaran Viswanath
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Correspondence to Sankaran Viswanath.

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Viswanath, S. Embeddings of Hyperbolic Kac–Moody Algebras into E 10 . Lett Math Phys 83, 139–148 (2008). https://doi.org/10.1007/s11005-007-0214-7

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  • DOI: https://doi.org/10.1007/s11005-007-0214-7

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