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Cone Preserving Mappings for Quadratic Cones Over Arbitrary Fields

Published online by Cambridge University Press:  20 November 2018

J. A. Lester
J. A. Lester*
Affiliation:
Dalhousie University, Halifax, Nova Scotia
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Let F be a non-singular metric vector space, that is, a vector space over a field F not of characteristic two, upon which is defined a non-singular symmetric bilinear form ( , ). For any a ϵ V, we define the cone with vertex a to be the set

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 29 , Issue 6 , 01 December 1977 , pp. 1247 - 1253
Copyright
Copyright © Canadian Mathematical Society 1977

References

1. Alexandrov, A. D., A contribution to chronogeometry, Can. J. Math. 19 (1967), 1119.Google Scholar
2. Artin, E., Geometric algebra (Interscience Publishers, New York, 1957).Google Scholar
3. Baer, R., Linear algebra and projective geometry (Academic Press, New York, 1952).Google Scholar
4. Borchers, H. J. and Hegerfeldt, G. C., The structure of space-time transformations, Comm. Math. Phys. 28 (1972), 259.Google Scholar
5. Snapper, E. and Troyer, R. J., Metric affine geometry (Academic Press, 1971).Google Scholar
6. Zeeman, E. C., Causality implies the Lorentz group, Journal Math. Phys. 5 (1964), 490.Google Scholar