The material of this section is quite conventional mathematics, with many good expositions, although most aimed at a higher level than ours. Examples at a similar level to this one are [86] and [94], which cover basics of Lie groups and Lie algebras, but without representations. The notes [40] and book [42] of Brian Hall are a good source for the subject at a somewhat more sophisticated level than adopted here. Some parts of the proofs given in this chapter are drawn from those two sources.
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