Article
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On \Sigma-classes in E^8. IV. The neighbourhood of F_{22}
Version 1
: Received: 12 July 2023 / Approved: 13 July 2023 / Online: 13 July 2023 (10:00:41 CEST)
How to cite: Engel, P. On \Sigma-classes in E^8. IV. The neighbourhood of F_{22}. Preprints 2023, 2023070917. https://doi.org/10.20944/preprints202307.0917.v1 Engel, P. On \Sigma-classes in E^8. IV. The neighbourhood of F_{22}. Preprints 2023, 2023070917. https://doi.org/10.20944/preprints202307.0917.v1
Abstract
In the cone of positive quadratic forms C^{8 x 8}, it is shown that
there exists in the neighbourhood of the quadratic form Q_{F_{22}}
a large cluster of non-equivalent \Sigma_0-subcones of positive volume
which are as well minimal as maximal.
Keywords
lattice of translations, parallelohedra, cone of positive quadratic forms, \Sigma-subcones
Subject
Chemistry and Materials Science, Physical Chemistry
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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