Abstract
We consider then-dimensional Euclidean lattices withZ m symmetries. It is shown that such lattices can be considered as ideals of some cyclotomic fields. Therefore we can translate problems about the above lattices into those about number theory. For alln (n≦22), we have obtained the classification of such lattices.
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Communicated by H. Araki
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Ono, M. Classification of lattices withZ m symmetry. Commun.Math. Phys. 126, 25–48 (1989). https://doi.org/10.1007/BF02124330
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DOI: https://doi.org/10.1007/BF02124330