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On projective spaces over two skew fields

Published online by Cambridge University Press:  24 October 2008

R. H. F. Denniston
R. H. F. Denniston
Affiliation:
University of Leicester
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Extract

Introduction. It is a classical problem to construct a complex projective space, using as ‘imaginary points’ objects of some kind from the geometry of real projective space. (The various solutions to this problem have been reviewed in a book by Coolidge ((1)).) The object of the present paper is to solve the corresponding problem for n-dimensional projective spaces over two skew fields, one being a second-rank extension of the other. The method used seems not to have been published before, even in connexion with the classical problem.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 62 , Issue 3 , July 1966 , pp. 395 - 398
Copyright
Copyright © Cambridge Philosophical Society 1966

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References

REFERENCES

(1)Coolidge, J. L.The geometry of the complex domain (Oxford, 1924).Google Scholar
(2)Ford, L. R.Automorphic functions (New York, 1929).Google Scholar
(3)Hodge, W. V. D. and Pedoe, D.Methods of algebraic geometry, volume i (Cambridge, 1947).Google Scholar
(4)von Staudt, C. G. C.Beiträge zur Oeometrie der Lage (Nürnberg, 1856–1860).Google Scholar