Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-11-22T14:13:51.440Z Has data issue: false hasContentIssue false
  • English
  • Français

The Space Groups of Two Dimensional Minkowski Space

Published online by Cambridge University Press:  20 November 2018

George Maxwell
George Maxwell*
Affiliation:
University of British Columbia, Vancouver, British Columbia
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Let E be an n-dimensional real affine space, V its vector space of translations and A(E) the affine group of E. Suppose that (. , .) is a nondegenerate symmetric bilinear form on F of signature (n — 1, 1), O(V) its orthogonal group and S(V) its group of similarities.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 30 , Issue 5 , 01 October 1978 , pp. 1103 - 1120
Copyright
Copyright © Canadian Mathematical Society 1978

References

1. Bourbaki, N., Groupes et algèbres de Lie, Chap. IV-VI (Hermann, Paris, 1968).Google Scholar
2. Broderick, N. and Maxwell, G., The crystallography of Coxeter groups, II, J. Algebra 44 (1977), 290–318.Google Scholar
3. Gauss, C. F., Disquisitiones arithmeticae (Yale University Press, 1966).Google Scholar
4. Janner, A. and Ascher, E., Bravais classes of two dimensional relativistic lattices, Physica 4°∼ (1969), 33–66.Google Scholar
5. Janner, A. and Ascher, E., Relativistic cry stall o graphic point groups in two dimensions, Physica 45 (1969), 67–85.Google Scholar
6. Jones, B. W., The arithmetic theory of quadratic forms (Wiley, New York, 1950).Google Scholar
7. Maxwell, G., The crystallography of Coxeter groups, J. Algebra 35 (1975), 159–177.Google Scholar
8. Maxwell, G., On the crystallography of infinite Coxeter groups, Math. Proc. Cambr. Phil. Soc. 82 (1977), 13–24.Google Scholar