Structure and Geometry of Lie Groups
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Matrix Groups.- Concrete Matrix Groups. The Matrix Exponential Function. Linear Lie Groups. Lie Algebras.- Elementary Structure Theory of Lie Algebras. Root Decomposition. Representation Theory of Lie Algebras.
[1] A. W. Knapp. Lie groups beyond an introduction , 1988 .
[2] Dusa McDuff,et al. HARMONIC ANALYSIS ON SEMI‐SIMPLE LIE GROUPS—I , 1974 .