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- W3149403787 abstract "There are infinitely many finite groups of orthogonal matrices all orbits of which, including those of irrational vectors, span lattices, that is, discrete additive subgroups of the underlying Euclidean space. We show that, both up to isomorphism and up to orthogonal similarity, exactly eight of these groups are irreducible: the two trivial groups in one dimension, the cyclic groups of orders 3, 4, 6 in two dimensions, and the quaternion, binary dihedral, binary tetrahedral groups in four dimensions." @default.
- W3149403787 created "2021-04-13" @default.
- W3149403787 creator A5075931791 @default.
- W3149403787 date "2021-01-01" @default.
- W3149403787 modified "2023-09-24" @default.
- W3149403787 title "Groups of Orthogonal Matrices All Orbits of Which Generate Lattices" @default.
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- W3149403787 doi "https://doi.org/10.1007/978-3-030-51945-2_6" @default.
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