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12 votes
4 answers
3k views

Elliptic Curves, Lattices, Lie Algebras

I've recently started to look at elliptic curves and have three basic questions: Is it correct to say that elliptic curves $E$ in the projective plane are in bijective correspondence with lattices $...
John McCarthy's user avatar
4 votes
1 answer
246 views

Classification of root lattice embeddings in $E_{10}$

There is a well-known classification result which gives a complete list of all root lattices which can embed into the lattice $E_8$. Moreover, each of these root lattices admits a unique embedding ...
Wendelin Lutz's user avatar
2 votes
0 answers
128 views

Kac-Peterson modular forms and shifted theta functions

Let $\Lambda$ be the root lattice corresponding to an ADE root system $R$ of rank $n$. With the ADE assumption, the weight lattice is simply the dual lattice $\Lambda^{\vee}$. Given any weight vector $...
Benighted's user avatar
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