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The Irreducible Covariants belonging to the Concomitant System of Three Quadrics

Published online by Cambridge University Press:  20 January 2009

J. Williamson
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In the following paper I give a complete list of the types of covariants belonging to the concomitant system of three quaternary quadrics, where covariant is used in its restricted sense and refers solely to a concomitant involving the variable x alone. A complete list of the types, 62 in number, is given in §1. In §§(6–10) the covariants are determined, and in §§(11–12) a list of the identities used in the reduction of the covariants is given, along with typical examples of the process.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 43 , February 1924 , pp. 2 - 16
Copyright
Copyright © Edinburgh Mathematical Society 1924

References

* The covariant is reducible.

** The covariant is reducible unlesss (A, B), (B, O), (c, A) = (AB), (BC) (CA) respectively.

† Cf. Proc. L.M.S., loc. cit., 488.

‡ Cf. loc. cit. 477.

* Proc. Lond. Math. Soc., 2.23, 423–7 (1924).Google Scholar