Abstract
1. The only double binary forms for which the complete systems of invariants and covariants are known appear to be the (1, 1), (2, 1) and (2, 2) forms, for which the complete systems were determined sixty years ago by Peano. In the present paper we determine the complete system of the binary (3, 1) form and establish its irreducibility. The system proves to contain twenty forms, and is thus scarcely more complicated than that of the (2, 2) form which includes eighteen concomitants, and much simpler than that of the (2, 1, 1) form derived by Gilham. It is hoped in a subsequent note to interpret the system geometrically.
Publisher
Cambridge University Press (CUP)
Cited by
4 articles.
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1. A complete set of covariants of the four qubit system;Journal of Physics A: Mathematical and General;2003-09-09
2. The theory of the Lanczos spinor;Annali di Matematica Pura ed Applicata;1975-12
3. Algebraic invariants and the projective geometry of spinors;Annali di Matematica Pura ed Applicata;1969-12
4. The complete system of the binary (4, 1) form;Mathematical Proceedings of the Cambridge Philosophical Society;1946-10