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Arcfrk 07:30, 24 May 2007 (UTC)
Hi. I think this definition of a semisimple Lie algebra relies on the Lie algebra g to be finite dimensional and over a field of characteristic zero. Otherwise, we start running into problems with Lie algebras such as gl(p, F), where F has characteristic p > 0.
Ifyoudontknow (talk) 05:06, 21 March 2008 (UTC)
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The link to Weyl's theorem currently leads to a disambiguation page. Someone with more knowledge of the subject should correct the link to lead to a specific article.--Bill 19:58, 3 February 2006 (UTC)