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3. On Vanishing Aggregates of Determinants

Published online by Cambridge University Press:  15 September 2014

Thomas Muir
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Extract

In a paper communicated to the Berlin Academy on 27th July 1882, Kronecker pointed out that certain sets of minors of any axisymmetric determinant are connected by a linear relation, or, as I have tried to put it more definitely in the present title, that certain aggregates of minors are equal to zero. This discovery has attracted considerable attention in Germany, as the list of papers herewith given suffices to show.

Type
Proceedings 1887-88
Information
Proceedings of the Royal Society of Edinburgh , Volume 15 , 1889 , pp. 96 - 105
Copyright
Copyright © Royal Society of Edinburgh 1889

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References

note * page 96 Kronecker, L., “Die Subdeterminanten symmetrischer Systeme,” Sitzungsb. d. k. Akad. d. Wiss., 1882, pp. 821–824.Google Scholar

note * page 97 Runge, C. “Die linearen Relationen zwisehen den verschiedenen Subdeterminanten symmetrischer Systeme,” Crelle's Journ., xciii. pp. 319–327.

Mehmke, R. “Bemerkung über die Subdeterminanten symmetrischer Systeme,” Math. Annalen, xxvi. pp. 209, 210.

Schendel, L. “Der Kronecker'sche Subdetermintensatz,” Zeitsch. f. Math, u. Phys., xxxii. pp. 119, 120.