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arXiv · 1704.01735

Modular curves, invariant theory and $E_8$

Lei Yang
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Abstract

The $E_8$ root lattice can be constructed from the modular curve $X(13)$ by the invariant theory for the simple group $\text{PSL}(2, 13)$. This gives a different construction of the $E_8$ root lattice. It also gives an explicit construction of the modular curve $X(13)$.

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Lei Yang. 2017-04-06. Modular curves, invariant theory and $E_8$. https://arxiv.org/abs/1704.01735

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