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A lattice without a basis of minimal vectors

  • J. H. Conway (a1) and N. J. A. Sloane (a2)

It is shown that in all dimensions n ≥ 11 there exists a lattice which is generated by its minimal vectors but in which no set of n minimal vectors forms a basis.

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1. J. H. Conway and N. J. A. Sloane . Sphere Packings, Lattices and Groups, Second edition (Springer-Verlag, New York, 1993).

6. M. Senechal . Introduction to lattice geometry. In From Number Theory to Physics (edited by M. Waldschmidt et al.) (Springer-Verlag, New York, 1992), pp. 476495.

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  • ISSN: 0025-5793
  • EISSN: 2041-7942
  • URL: /core/journals/mathematika
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