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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])
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Automorphism groups of indefinite non-unimodular integer lattices
I'm mostly trying to learn some general ideas and techniques: structural results exist for unimodular lattices and orthogonal groups over fields but less so for the integral indefinite non-unimodular case …