## Algebraic and Analytic Methods in Representation TheoryThis book is a compilation of several works from well-recognized figures in the field of Representation Theory. The presentation of the topic is unique in offering several different points of view, which should makethe book very useful to students and experts alike. Presents several different points of view on key topics in representation theory, from internationally known experts in the field |

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### Contents

Chapter 2 Orbital Varieties Goldie Rank Polynomials and Unitary Highest Weight Modules | 53 |

Chapter 3 Discontinuous Groups and CliffordKlein Forms of PseudoRiemannian Homogeneous Manifolds | 99 |

Chapter 4 The Method of Stationary Phase and Applications to Geometry and Analysis on Lie Groups | 167 |

Chapter 5 The Orbit Method and Unitary Representations for Reductive Lie Groups | 243 |

### Other editions - View all

Algebraic and Analytic Methods in Representation Theory Bent Orsted,Henrik Schlichtkrull No preview available - 1997 |

### Common terms and phrases

ad(X adjoint action admit a compact algebraic group asymptotic bundle Cartan involution Clifford-Klein form closed subgroup coadjoint orbit coefficients cohomology commutes compact Clifford-Klein form completely prime Corollary critical point decomposition defined Definition denote diffeomorphism differential operators discontinuous group discrete subgroup element elliptic Example formal power series functor G-invariant GL(n group G highest weight modules homogeneous manifold homogeneous spaces homomorphism hyperbolic isomorphic K)-module Lemma Let G Lie algebra linear Math matrix Morse function nilpotent noncompact nondegenerate nonzero orbital varieties oscillatory integrals phase functions polynomials primitive ideal problem Proof properly discontinuous Proposition quotient real reductive group reductive group reductive Lie group reductive type representation of G resp Riemannian Section space of reductive structure subalgebra subgroup of G subspace Suppose G surjective symmetric space T-modules Theorem topology TVG/H unitary representation Weyl group write