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Explicit determination of a 727-dimensional root space of the hyperbolic Lie algebra $E_{10}$

Oliver Bärwald·Reinhold W. Gebert
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Abstract

The 727-dimensional root space associated with the level-2 root $\bLambda_1$ of the hyperbolic Kac--Moody algebra $E_{10}$ is determined using a recently developed string theoretic approach to hyperbolic algebras. The explicit form of the basis reveals a complicated structure with transversal as well as longitudinal string states present.

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Oliver Bärwald, Reinhold W. Gebert. 1996-10-23. Explicit determination of a 727-dimensional root space of the hyperbolic Lie algebra $E_{10}$. https://doi.org/10.1088/0305-4470%2F30%2F7%2F022

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