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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])

4 votes
1 answer
241 views

Closest point to a dual lattice point (in particular for root lattices!)

I wonder what is known in case $p\in\Lambda^*$ is in the dual lattices. More specifically for every class $[p]\in\Lambda^*/\Lambda$. …
1 vote

Involution of $E_{8}$ lattice

As André already pointed out, it is sufficient to study the Weyl group $E_8$, looking in the atlas certainly works, see b). a) BUT the Weyl group perspective makes it in my opinion enough accessible …
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