Lie Groups and Lie Algebras · Chapter VIII
Split semi-simple Lie algebras
- Split semi-simple Lie algebras 0 statements
- § 1. The Lie algebra sl(2, k) and its representations 23 statements · 18 exercises
- § 2. Root system of a split semi-simple Lie algebra 28 statements · 11 exercises
- § 3. Subalgebras of split semi-simple Lie algebras 28 statements · 14 exercises
- § 4. Split semi-simple Lie algebra defined by a reduced root system 23 statements · 7 exercises
- § 5. Automorphisms of a semi-simple Lie algebra 25 statements · 13 exercises
- § 6. Modules over a split semi-simple Lie algebra 17 statements · 5 exercises
- § 7. Finite dimensional modules over a split semi-simple Lie algebra 46 statements · 27 exercises
- § 8. Symmetric invariants 24 statements · 18 exercises
- § 9. The formula of Hermann Weyl 12 statements · 16 exercises
- § 10. Maximal subalgebras of semi-simple Lie algebras 8 statements · 7 exercises
- § 11. Classes of nilpotent elements and sl2 -triplets 29 statements · 17 exercises
- § 12. Chevalley orders 34 statements
- § 13. Classical splittable simple Lie algebras 2 statements · 19 exercises