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V.—The Revised Prepared System of the Quadratic Complex

Published online by Cambridge University Press:  15 September 2014

H. W. Turnbull
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Extract

The following is a sequel to two earlier papers by Dr J. Williamson and the author, on “The Invariant Theory of the Quaternary Quadratic Complex,” which appeared in the Proceedings in 1928. As a result of further study of two quadratics in n variables it appeared that the list of forms which constituted the starting-point of the former investigation was incomplete. The present work gives the prepared system on the basis of the revised data, and thus rectifies the earlier of the 1928 papers. It will be convenient to refer to these three papers as I, II, and III, their full title and reference being given at the end of this investigation.

Type
Proceedings
Information
Proceedings of the Royal Society of Edinburgh , Volume 56 , 1937 , pp. 38 - 49
Copyright
Copyright © Royal Society of Edinburgh 1937

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References

References to Literature

I.Turnbull, H. W., 1928. “The Invariant Theory of the Quaternary Quadratic Complex. I. The Prepared System,” Proc. Roy. Soc. Edin., vol. xlviii, pp. 70–91.Google Scholar
II.Turnbull, H. W., and Williamson, J., 1928. “The Invariant Theory of the Quaternary Quadratic Complex. II. The Complete System,” Proc. Roy. Soc. Edin., vol. xlviii, pp. 180–190.Google Scholar
III.Turnbull, H. W., and Williamson, J., 1930. “Further Invariant Theory of Two Quadratics in n Variables,” Proc. Roy. Soc. Edin., vol. 1, pp. 8–25.Google Scholar
IV.Turnbull, H. W., 1928. The Theory of Determinants, Matrices, and Invariants, Glasgow.Google Scholar