The Orbit Method in Representation Theory: Proceedings of a Conference Held in Copenhagen, August to September 1988 (Progress in Mathematics Book 82)

Ever since its introduction around 1960 by Kirillov, the orbit method has played a major role in representation theory of Lie groups and Lie algebras. This book contains the proceedings of a conference held from August 29 to September 2, 1988, at the University of Copenhagen, about "the orbit method in representation theory." It contains ten articles, most of which are original research papers, by well-known mathematicians in the field, and it reflects the fact that the orbit method plays an important role in the representation theory of semisimple Lie groups, solvable Lie groups, and even more general Lie groups, and also in the theory of enveloping algebras. Front Matter....Pages i-x Towards Harmonic Analysis on Homogeneous Spaces of Nilpotent Lie Groups....Pages 1-9 Orbites Coadjointes et Cohomologie Équivariante....Pages 11-60 Représentations Monomiales des Groupes de Lie Résolubles Exponentiels....Pages 61-84 The Surjectivity Theorem, Characteristic Polynomials and Induced Ideals....Pages 85-98 A Formula of Gauss-Kummer and the Trace of Certain Intertwining Operators....Pages 99-134 The Penney-Fujiwara Plancherel Formula for Symmetric Spaces....Pages 135-145 Embeddings of Discrete Series into Principal Series....Pages 147-175 Is There an Orbit Method for Affine Symmetric Spaces?....Pages 177-185 On a Property of the Quantization Map for the Coadjoint Orbits of Connected Lie Groups....Pages 187-211 The Poisson-Plancherel Formula for a Quasi-Algebraic Group with Abelian Radical and Reductive Generic Stabilizer....Pages 213-227 Back Matter....Pages 228-229