Talk:Élie Cartan

Discovery of spinors
Somewhere in the article it should note that Cartan discovered the general mathematical form of spinors in 1913. --D. Estenson II 05:11, July 11, 2005 (UTC)


 * That is mentioned in the spinor article under History. Charles Matthews 07:52, 11 July 2005 (UTC)

I was thinking Cartan's article should also mention it. Maybe I'm wrong. --D. Estenson II 08:13, July 11, 2005 (UTC)


 * I wouldn't mind having this mentioned in some form. The opening sentence does emphasise Lie groups, of which the spinor work was just a facet. There is some question in my mind about how he shares credit with Hermann Weyl for opening up the theory. Charles Matthews 08:20, 11 July 2005 (UTC)

You are probably more of an expert on the subject than I, but in the introduction to Cartan's The Theory of Spinors he says, "In their most general mathematical form, spinors were discovered in 1913 by the author of this work, in his investigations on the linear representations of simple groups" and has a footnote for the Cartan's original publication in french. Weyl did work on the subject, but I don't know when he did it, all references I can find right now came far after 1913. --D. Estenson II 08:45, July 11, 2005 (UTC)

WikiProject class rating
This article was automatically assessed because at least one article was rated and this bot brought all the other ratings up to at least that level. BetacommandBot 08:27, 27 August 2007 (UTC)

ECE theory
Myron W, Evans is the inventor of ECE theory, a new theory of theoretical physics based on Cartan geometry. He claims: "ECE theory is based directly on Cartan gemetry [sic], which is why it has been overwhelmingly accepted internationally by all the best universities, institutes and similar in the world. They attacked Cartan geometry because I used it in an imaginative way. Nothing as stupid as this has ever happened in science." Is there anything to these claims? 137.205.101.77 (talk) 08:17, 28 February 2017 (UTC)

introduction
The introduction's 1999 citation for Cartan's "greatness" seems somewhat shaky as a list of "great" mathematicians. For example, Grothendieck, Serre, and Hilbert are absent from the list. Might it be better to replace this citation by one to Chern and Chevalley's obituary for Cartan? The latter does not claim to enumerate of great mathematicians; instead, it reflects in personal detail on what made Cartan's work exceptional. It also has the advantage that it was written by well-established mathematicians whose fields intersected with Cartans'.

coporight
the majority of the section "work" is directly copied from the DSB entry and 2.2 is mostly copied from Akivis & Rosenfeld.

i suggest we rewrite these parts.

or delete them right away.

42.244.62.233 (talk) 06:58, 22 September 2018 (UTC)