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Results tagged with lattices
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user 105661
Lattices in the sense of discrete subgroups of Euclidean spaces, as used in number theory, discrete geometry, Lie groups, etc. (Not to be confused with lattice theory or lattices as used in physics! For lattices (ordered sets), use the tag: [lattice-theory])
2
votes
0
answers
125
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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 …
- 1,701
2
votes
1
answer
233
views
Shifted lattices and the discriminant group
Like might this be hinting at something, or are these special kinds of shifted lattices that show up in other areas of math? … Unimodular lattices show up in a closely related problem, so maybe this family of shifted lattices is naturally what you should consider in the non-unimodular case. …
- 1,701
7
votes
0
answers
120
views
Theta Function Associated to Kummer Lattice
This is something which I feel must be out in the literature somewhere, but I have been unable to find anything.
If we let $\text{Km}(A)$ be the Kummer $K3$ surface associated to an abelian surface $A …
- 1,701