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Mathematics of Computation

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The lattices of six-dimensional Euclidean space

Authors: W. Plesken and W. Hanrath
Journal: Math. Comp. 43 (1984), 573-587
MSC: Primary 11H06; Secondary 20H15, 52A43
MathSciNet review: 758205
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Abstract: The lattices of full rank of the six-dimensional Euclidean space are classified according to their automorphism groups (Bravais classification). We find 826 types of such lattices.

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Keywords: Bravais lattices, integral matrix groups
Article copyright: © Copyright 1984 American Mathematical Society