What's the largest d required for an N-dimensional integer lattice to be a sublattice of Z^(N+d)? I believe E6 (N=6) requires d=2. On Thu, Jan 14, 2016 at 3:21 PM, Fred Lunnon <fred.lunnon@gmail.com> wrote:
x+y+z = 0 in Z^3 , perhaps?
WFL
On 1/14/16, Warren D Smith <warren.wds@gmail.com> wrote:
also, another issue is, you can have, say, a 12-dimensional sublattice (like K12) of Z^24. In other words it's integer, and it's N-dimensional, but the coordinates are only integer in some higher dimension D>N on which we restrict to some N-dimensional subspace.
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