Description
Book SynopsisPresents a course in representation theory of semisimple groups, automorphic forms and the relations between these two subjects. This book presents an introduction to the structure theory. It also discusses the analogies between analysis of cusp forms and analysis on semisimple symmetric spaces.
Table of ContentsStructure theory of semisimple Lie groups by A. W. Knapp Characters of representations and paths in ${\mathfrak h}^*_{\mathbb R}$ by P. Littelmann Irreducible representations of SL(2,R) by R. W. Donley, Jr. General representation theory of real reductive Lie groups by M. W. Baldoni Infinitesimal character and distribution character of representations of reductive Lie groups by P. Delorme Discrete series by W. Schmid and V. Bolton The Borel-Weil theorem for $U(n)$ by R. W. Donley, Jr. Induced representations and the Langlands classification by E. P. van den Ban Representations of GL(n) over the real field by C. Moeglin Orbital integrals, symmetric Fourier analysis, and eigenspace representations by S. Helgason Harmonic analysis on semisimple symmetric spaces: A survey of some general results by E. P. van den Ban, M. Flensted-Jensen, and H. Schlichtkrull Cohomology and group representations by D. A. Vogan, Jr. Introduction to the Langlands program by A. W. Knapp Representations of GL(n,F) in the nonarchimedean case by C. Moeglin Principal $L$-functions for $GL(n)$ by H. Jacquet Functoriality and the Artin conjecture by J. D. Rogawski Theoretical aspects of the trace formula for $GL(2)$ by A. W. Knapp Note on the analytic continuation of Eisenstein series: An appendix to the previous paper by H. Jacquet Applications of the trace formula by A. W. Knapp and J. D. Rogawski Stability and endoscopy: Informal motivation by J. Arthur Automorphic spectrum of symmetric spaces by H. Jacquet Where stands functoriality today? by R. P. Langlands Index.
