Section 3

Lie algebra

• Overview
• 3a. Real Lie algebra; general routines, definitions of §2.2.2, §2.3, §3.1
• 3b. Basis for the complex Lie algebra; Table 3.2
• 3c. Check of exponentiation map; (2.29), (2.39), §3.1
• 3d. Cartan subalgebras; §3.1
• 3e. Universal enveloping algebra, routines; §3.1
• 3f. Casimir element of K₀; (2.34)
• 3g. Center of the enveloping algebra; §3.1
• 3h. Iwasawa decomposition; check of Table 3.5

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