Lie Theory: Lie Algebras and Representations (Hardcover, 2004)

Preface J.C. Jantzen, 'Nilpotent Orbits in Representation Theory': Introduction Nilpotent Orbits for Classical Groups Some General Results Centralisers in the Classical Cases Bala-Carter Theory Centralisers The Nilpotent Cone I The Nilpotent Cone II Functions on Orbits and Orbit Closures Associated Varieties Springer's Fibres and Steinberg's Triples Paving Springer's Fibres l-adic and Perverse Stuff Springer's Representations References K.-H. Neeb, 'Infinite Dimensional Groups and their Representations': Introduction The Finite-Dimensional Case Split Lie Algebras Unitary Highest Weight Modules Banach-Lie Groups Holomorphic Representations of Classical Banach-Lie Groups Geometry of Coadjoint Orbits of Banach-Lie Groups Coadjoint Orbits and Complex Line Bundles for U2(H) Appendix: The Topology of Classical Banach-Lie Groups References