Talk:Perfect lattice
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A possible mistake in the definition?
[edit]The article says "a perfect lattice (or perfect form) is a lattice in a positive definite real vector space, that is determined by the set S of its minimal vectors in the sense that there is only one positive definite quadratic form taking value 1 at all points of S." However, The minimal value is not necessarily 1. This should be changed to something saying that the it is the unique (positive-definite?) quadratic form taking the minimal value at all points of S.
Any objection?