On Σ-Classes in E8. I. The Neighborhood of E8

In the cone of positive quadratic forms C8×8, it is shown that there exists in the neighborhood the quadratic form QE8 , a large cluster of non-equivalent S0-subcones of positive volume.

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Bibliographic Details
Published in:Crystals (Basel) 2023-02, Vol.13 (2), p.246
Main Author: Engel, Peter
Format: Article
Language:English
Subjects:
cone of positive quadratic forms
Crystallography
Euclidean space
Investigations
lattice of translations
Neighborhoods
parallelohedra
Polytopes
Quadratic forms
Σ-subcone
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Description
Summary:In the cone of positive quadratic forms C8×8, it is shown that there exists in the neighborhood the quadratic form QE8 , a large cluster of non-equivalent S0-subcones of positive volume.
ISSN:2073-4352
2073-4352
DOI:10.3390/cryst13020246