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The rise of Cayley’s invariant theory (1841–1862). (English) Zbl 0631.01016

The author has researched the unpublished Cayley-Boole and Cayley- Sylvester correspondence as well as Cayley’s published papers to produce a detailed description and analysis of the development of invariant theory by Cayley. Where Boole had studied homogeneous polynomials, Cayley used multilinear forms. The author says that Cayley at first based invariant theory on partial differential equations, then later on the hyperdeterminant derivative, and still later returned to partial differential equations.
Reviewer: R.Cooke

MSC:

01A55 History of mathematics in the 19th century
15-03 History of linear algebra

Biographic References:

Cayley, A.
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References:

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