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XV.—The Invariant Theory of the Quaternary Quadratic Complex. II. The Complete System

  • H. W. Turnbull and J. Williamson
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This paper is a direct continuation of the paper entitled “ The Invariant Theory of the Quaternary Quadratic Complex ” published in the Proceedings of the Royal Society of Edinburgh, Session 1927–28, 48, pp. 70–91. In that paper a prepared system for the quadratic complex has been obtained and tabulated there in § 13. We here deduce from that prepared system the complete system of concomitants. The notation throughout this paper is the same as that suggested in § 13 (loc. cit.), except that, for convenience, the symbol α has been used instead of the symbol 1.

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page 180 note * Turnbull, , Proc. Roy. Soc. Edinburgh, 46 (1926), 210222.

page 180 note † P.R.S.E., 46 (1926), 210–222, § 3, p. 217.

page 187 note * Proc. London Math. Soc., 2, 9 (1910), 81121.

page 189 note * Here (i j k P ) may denote any P factor, including ( AiP ) or ( α P ).

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Proceedings of the Royal Society of Edinburgh
  • ISSN: 0370-1646
  • EISSN: 2059-9153
  • URL: /core/journals/proceedings-of-the-royal-society-of-edinburgh
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