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III.—On the Matrix Representation of Complex Symbols

Published online by Cambridge University Press:  14 February 2012

D. E. Rutherford
D. E. Rutherford
Affiliation:
United College, University of St Andrews
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Extract

1. In a recent paper Professor G. Temple has given a matrix representation of the Clebsch-Aronhold symbols by means of which a homogeneous form of degree m in the n variables x1 …, xn may be written (a1x1 + … + anxn)m. The present paper is concerned with an extension of Temple's method to include Weitzenböck's complex symbols which have proved so potent in the treatment of linear and higher complexes. A slight rearrangement of Temple's matrices is suggested which displays more clearly the nature of the representation.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 62 , Issue 1 , 1944 , pp. 25 - 27
Copyright
Copyright © Royal Society of Edinburgh 1944

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References

REFERENCES TO LITERATURE

Temple, G., 1937. “The Symbolic Representation of Algebraic and Differential Forms,” Journ. Lond. Math. Soc., XII, 114–120.CrossRefGoogle Scholar
Weitzenböck, R., 1908. Komplex Symbolik, Leipzig.Google Scholar
Weitzenböck, R., 1923. Invariantentheorie, Groningen.Google Scholar