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Apr 13, 2017 at 12:19 history edited CommunityBot
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May 30, 2011 at 6:13 comment added agt @Robert Bryant: Thank you very much for the attention, and the careful historical information. I did not known exactly where, in the work of Elie Cartan, this formula appeared for the first time. Please, my previous observation was just an hypothesis to explain the attribution of this formula to Henri instead than to Elie, as I found it sometimes in the literature.
May 29, 2011 at 22:25 comment added Robert Bryant @Giuseppe: The formula you are calling H. Cartan's formula first appeared, to my knowledge, in É. Cartan's 1922 book "Leçons sur les invariants intégraux", and these are lectures based on a course that he had given a couple of years earlier, so the formula might date from around 1920, when H. Cartan would have been about 16.
May 29, 2011 at 20:37 comment added agt @Theo Buehler: Yes surely it is due to the foundational work of Elié Cartan, but I thought it was named after his son Henri Cartan, for this formula is singled out in his axiomatic presentation of the equivariant cohomology for smooth manifolds acted by a Lie group. Precisely, I found it under this name in Symplectic Geometry and Analytical Mechanics of Libermann and Marle.
May 29, 2011 at 20:12 history edited Theo Buehler CC BY-SA 3.0
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