Representations of Lie Groups, Kyoto, Hiroshima, 1986

Representations of Lie Groups, Kyoto, Hiroshima, 1986

1st Edition - March 28, 1989

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  • Editors: K. Okamoto, T. Oshima
  • eBook ISBN: 9781483257570

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Representations of Lie Groups, Kyoto, Hiroshima, 1986 contains the proceedings of a symposium on "Analysis on Homogeneous Spaces and Representations of Lie Groups" held on September 1-6, 1986 in Japan. The symposium provided a forum for discussing Lie groups and covered topics ranging from geometric constructions of representations to the irreducibility of discrete series representations for semisimple symmetric spaces. A classification theory of prehomogeneous vector spaces is also described. Comprised of 22 chapters, this volume first considers the characteristic varieties of certain modules over the enveloping algebra of a semisimple Lie algebra, such as highest weight modules and primitive quotients. The reader is then introduced to multiplicity one theorems for generalized Gelfand-Graev representations of semisimple Lie groups and Whittaker models for the discrete series. Subsequent chapters focus on Lie algebra cohomology and holomorphic continuation of generalized Jacquet integrals; the generalized Geroch conjecture; algebraic structures on virtual characters of a semisimple Lie group; and fundamental groups of semisimple symmetric spaces. The book concludes with an analysis of the boundedness of certain unitarizable Harish-Chandra modules. This monograph will appeal to students, specialists, and researchers in the field of pure mathematics.

Table of Contents

  • Characteristic Varieties of Highest Weight Modules and Primitive Quotients

    Multiplicity One Theorems for Generalized Gelfand-Graev Representations of Semisimple Lie Groups and Whittaker Models for the Discrete Series

    Lie Algebra Cohomology and Holomorphic Continuation of Generalized Jacquet Integrals

    Certaines Répresentations Monomiales d'un Croupe de Lie Résoluble Exponentiel

    Irreducibility of Discrete Series Representations for Semisimple Symmetric Spaces

    A Classification Theory of Prehomogeneous Vector Spaces

    Schur Orthogonality Relations for Non Square Integrable Representations of Real Semisimple Linear Group and Its Application

    La Formule de Plancherei des Croupes de Lie Semi-Simples Réels

    Some Remarks on Discrete Series Characters for Reductive p-adic Groups

    Geometric Constructions of Representations

    Character, Character Cycle, Fixed Point Theorem and Group Representations

    A Survey of the Generalized Geroch Conjecture

    Irreducible Unitary Representations of the Group of Maps with Values in a Free Product Group

    Algebraic Structures on Virtual Characters of a Semisimple Lie Group

    Cohomological Hardy Space for SU(2, 2)

    Une Intégrale Invariante sur l'algèbre de Lie Symétrique Semi-Simple

    Fundamental Groups of Semisimple Symmetric Spaces

    A Description of Discrete Series for Semi-Simple Synunetric Spaces II

    Closure Relations for Orbits on Affine Symmetric Spaces under the Action of Minimal Parabolic Subgroups

    Asymptotic Behavior of Spherical Functions on Semisimple Symmetric Spaces

    A Realization of Semisimple Symmetric Spaces and Construction of Boundary Value Maps

    Boundedness of Certain Unitarizable Harish-Chandra Modules

Product details

  • No. of pages: 672
  • Language: English
  • Copyright: © Academic Press 1989
  • Published: March 28, 1989
  • Imprint: Academic Press
  • eBook ISBN: 9781483257570

About the Editors

K. Okamoto

T. Oshima

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