On two special classes of parallelohedra in E 6-Reference-Cited by-同舟云学术

On two special classes of parallelohedra in E 6

Published:2019-04-30 Issue:3 Volume:75 Page:574-583
ISSN:2053-2733
Container-title:Acta Crystallographica Section A Foundations and Advances
language:
Short-container-title:Acta Cryst Sect A

Author:

Engel P.

Abstract

The cone of positive-definite quadratic forms is subdivided into aggregates of parallelohedra having certain properties. In E 6, the Σ-subcones are investigated and, in particular, the Σ0-subcone will be described which first occurs in E 6 and which is governed by the group {\cal G}_{E_6^*}. Further the \Sigma_{d+1 \choose 2}\-subcone which is governed by the group {\cal G}_{A_d^*} will be discussed for d = 6.

Publisher

International Union of Crystallography (IUCr)

Subject

Inorganic Chemistry,Physical and Theoretical Chemistry,Condensed Matter Physics,General Materials Science,Biochemistry,Structural Biology

Link

http://journals.iucr.org/a/issues/2019/03/00/ae5048/ae5048.pdf

Reference13 articles.

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3. Über die Reduction der positiven quadratischen Formen mit drei unbestimmten ganzen Zahlen.

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