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May 11, 2011 at 13:31 vote accept Selene Routley
May 9, 2011 at 7:03 comment added Theo Buehler Concerning your last speculation: "Lie group" meant what Lie intended it to be, namely a local transformation group with Euclidean coordinate patches such that the action map is differentiable in these patches, as made precise by Hilbert in the statement of his fifth problem: ams.org/journals/bull/1902-08-10/home.html (p.451f). Van der Waerden assumes a global group structure and no space acted upon and refers to Schreier's paper springerlink.com/content/v76736204ql73587 for the foundations he doesn't make explicit in his article.
May 9, 2011 at 3:25 history edited Qiaochu Yuan CC BY-SA 3.0
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May 9, 2011 at 3:17 history answered Qiaochu Yuan CC BY-SA 3.0