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X.—The Revised Complete System of a Quadratic Complex

Published online by Cambridge University Press:  15 September 2014

H. W. Turnbull
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Extract

This is a direct continuation of an earlier communication by the author, on “The Revised Prepared System of the Quadratic Complex,” which appeared in vol. lvi (1936) of the Society's Proceedings, pp. 38–49. It will be convenient to utilize the same notation and references to earlier works I, II and III as before, with IV to denote the 1936 paper. A complete system of concomitants for a quadratic complex is here worked out; omitting polar forms, it consists of 210 forms. The sign ≡ in a relation A ≡ B is here used to mean “may be replaced by”: thus A is equal to a non-zero numerical multiple of B plus reducible terms.

Type
Proceedings
Information
Proceedings of the Royal Society of Edinburgh , Volume 57 , 1938 , pp. 155 - 162
Copyright
Copyright © Royal Society of Edinburgh 1938

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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., 1936. “The Revised Prepared System of the Quadratic Complex,” Proc. Roy. Soc. Edin., vol. lvi, pp. 38–49.Google Scholar
V.Turnbull, H. W., 1926. “The Invariant Theory of Forms in Six Variables relating to the Line Complex,” Proc. Roy. Soc. Edin., vol. xlvi, pp. 210–222.Google Scholar