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Nov 4, 2015 at 18:00 comment added Jim Humphreys It's best to define your terms and notation explicitly since the theory of Lie groups (starting with real manifolds) has been infiltrated by the theory of linear algebraic groups defined over various fields. For example, what do you mean by "maximal torus"? This is a term coming from algebraic groups, which doesn't even occur in the index of Knapp's 1996 Birkhauser text. While "torus" in its older sense occurs in the study of compact Lie groups, a Lie group in general was originally studied by passing to the complexified Lie algebra and its (conjugate) Cartan subalgebras.
Nov 4, 2015 at 18:00 vote accept Ilias A.
Nov 4, 2015 at 17:15 history edited Stefan Kohl CC BY-SA 3.0
Fixed a typo in the title.
Nov 4, 2015 at 15:37 answer added Mikhail Borovoi timeline score: 3
Nov 4, 2015 at 15:02 review Close votes
Nov 4, 2015 at 20:16
Nov 4, 2015 at 13:42 history asked Ilias A. CC BY-SA 3.0