Talk:Casimir invariant

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need to disambiguate rank. there is currently no page for the rank of a Lie algebra/Lie group. does this deserve its own page? or is it better explained in the Lie algebra and Lie group articles?Lethe 02:04, 9 Mar 2004 (UTC)

[edit] Formulation

Added the precise formulation for the case of semisimple Lie algebras, but unsure what modification is required in other possible cases - Most sources (Knapp, Helgason, & Jacobson) appear to only consider the semisimple case. Dmaher 01:09, 8 July 2006 (UTC)

[edit] Cleanup & Expert tags

I have added "cleanup" and "expert" tags to the article for the following reasons. Currently (16:24, 11 July 2006 (UTC)) what the article discusses, and the introduction defines, is just a quadratic (second-order) Casimir operator. This is just one of many possible Casimir operators, although perhaps the most common and best known (especially in physical applications). General Lie algebras can possess other, higher-dimensional Casimir operators. A more general definition should be given by someone who is an expert on this topic. 131.111.8.98 16:24, 11 July 2006 (UTC)