Essays on representations of real groups Introduction to Lie algebras
نویسنده
چکیده
This essay is intended to be a self-contained if rather brief introduction to Lie algebras. The first several sections deal with Lie algebras as spaces of invariant vector fields on a Lie group. The very first sections are concerned with different ways to consider vector fields. This early treatment is intended, among other things, to motivate the eventual introduction of abstract Lie algebras, with which all the later sections are concerned.
منابع مشابه
Essays on representations of real groups
This essay contains somewhat dry material most useful in motivating eventually a certain crucial but at first sight somewhat technical transition from representations of groups to representations of Lie algebras. Parts of it will also be used in the theory of automorphic forms. I have made some effort to reduce everything to well known facts inmeasure theory and topology. The standard reference...
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