V.—The Revised Prepared System of the Quadratic Complex

Abstract

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.