Timeline for Emergence of the orthogonal group
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Jun 22, 2020 at 19:58 | comment | added | Francois Ziegler | I guess the switch may have been because “orthogonal matrix” was preferable to “rectangular matrix”. As to groupe orthogonal, the name seems to have been first used by Jordan in Traité des substitutions et des équations algébriques (1870), p. 155. | |
| Jun 22, 2020 at 15:59 | comment | added | Francois Ziegler | Perhaps the first to speak of orthogonal transformations (though not orthogonal group) is J. J. Sylvester in A Demonstration of the Theorem that every Homogeneous Quadratic Polynomial is reducible by real orthogonal substitutions to the form of a sum of Positive and Negative Squares, Phil. Mag. (4) 4 (1852) 138-142. He refers to Boole who earlier called them rectangular transformations in On the Theory of Linear Transformations (1851, p. 88). | |
| Jun 18, 2020 at 13:56 | comment | added | Francois Ziegler | Thanks. Indeed Hurwitz definitely speaks of “der orthogonalen Gruppe” (pp. 72, 75). He also cites e.g. Kronecker (1890) who had “die Gesammtheit der orthogonalen Transformationen” (p. 376), “die Mannigfaltigkeit der orthogonalen Transformationen” (p. 455). | |
| Jun 18, 2020 at 8:52 | history | edited | Carlo Beenakker | CC BY-SA 4.0 |
added 42 characters in body
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| Jun 18, 2020 at 8:47 | history | answered | Carlo Beenakker | CC BY-SA 4.0 |