Proceedings of the Edinburgh Mathematical Society

Table of Contents - Volume 43 - 1924  

Research Article

The Irreducible Covariants belonging to the Concomitant System of Three Quadrics

J. Williamson

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.

(Revised June 14 1924)

(Received October 20 1924)