Semi-direct Products of Lie Algebras, Their Invariants and Representations
نویسنده
چکیده
Introduction 1 1. Preliminaries 6 2. Generic stabilisers (centralisers) for the adjoint representation 9 3. Generic stabilisers for the coadjoint representation 10 4. Semi-direct products of Lie algebras and modules of covariants 12 5. Generic stabilisers and rational invariants for semi-direct products 14 6. Reductive semi-direct products and their polynomial invariants 21 7. Takiff Lie algebras and their invariants 23 8. The null-cone and its irreducibility 26 9. Isotropy contractions and Z2-contractions of semisimple Lie algebras 31 10. Reductive Takiff Lie algebras and their representations 38 11. On invariants and null-cones for generalised Takiff Lie algebras 45 References 48
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