1986
DOI: 10.1016/0315-0860(86)90091-1
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The rise of Cayley's invariant theory (1841–1862)

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Cited by 27 publications
(16 citation statements)
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“…Gregory, Boole, and Cayley were among those who published work on this subject in the CMJ, the CDMJ, and the QJPAM. In particular, the calculus of operations provided a viewpoint for Cayley in his work on invariant theory, group theory, and matrix algebra [Crilly, 1986]. It provided a mechanism which allowed him to generalize previous ideas in group theory [Crilly, 2000].…”
Section: Careersmentioning
confidence: 99%
“…Gregory, Boole, and Cayley were among those who published work on this subject in the CMJ, the CDMJ, and the QJPAM. In particular, the calculus of operations provided a viewpoint for Cayley in his work on invariant theory, group theory, and matrix algebra [Crilly, 1986]. It provided a mechanism which allowed him to generalize previous ideas in group theory [Crilly, 2000].…”
Section: Careersmentioning
confidence: 99%
“…Prominent during the second half of the 1800's was the study of invariants and covariants of homogeneous polynomials in n variables -so called n-aray forms [12,43]. Let the n-aray form be denoted F ( a, x), where a is the vector of coefficients and x the vector of unknowns.…”
Section: Invariant Theorymentioning
confidence: 99%
“…Stiemke handed in his doctoral thesis "Über unendliche algebraische Zahlkörper" [Stiemke, 1925] in the summer of 1914 but he died in the First World War and the thesis 53 For the "race" between the English invariant theorists and the German ones in proving this theorem, which in the literature often is referred to as Gordan's Theorem, see [Crilly, 1986[Crilly, , 1988 and [Parshall, 1989]. 54 In [Parshall, 1989] there is a discussion of the problems involved.…”
Section: The "Disguised" Transposition Theoremmentioning
confidence: 99%
“…54 In [Parshall, 1989] there is a discussion of the problems involved. 55 See [Parshall, 1989] and [Crilly, 1986[Crilly, , 1988 for a discussion of the history of invariant theory, especially the differences between the English and the German approach.…”
Section: The "Disguised" Transposition Theoremmentioning
confidence: 99%