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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
Computing the genus of certain ternary indefinite lattices
The answer is in
Rick Miranda and David R. Morrison, Embeddings of Integral QuadraticForms
https://web.math.ucsb.edu/~drm/manuscripts/eiqf.pdf
Chapter VIII Theorem 7.5 (2) and the following Lemmas
Nam …