Contents

Foreword vii-viii

Structure Theory of Semisimple Lie Groups 1-27

By A. W. KNAP P

Characters of Representations and Paths in 5}^ 29-49

By PETE R LITTELMANN

Irreducible Representations of SL(2,R) 51-59

By ROBERT W. DONLEY, JR .

General Representation Theory of Real Reductive Lie Groups 61-72

By M. WELLEDA BALDONI

Infinitesimal Character and Distribution Character of Representations

of Reductive Lie Groups 73-81

By PATRICK DELORME

Discrete Series 83-113

By WILFRIED SCHMID and VERNON BOLTON

The Borel-Weil Theorem for U(n) 115-121

By ROBERT W. DONLEY, JR .

Induced Representations and the Langlands Classification 123-155

By E. P.

VAN DEN BAN

Representations of GL(n) over the Real Field 157-166

By C. MCEGLIN

Orbital Integrals, Symmetric Fourier Analysis, and Eigenspace

Representations 167-189

B y SlGURDUR HELGASON

Harmonic Analysis on Semisimple Symmetric Spaces: A Survey of Some

General Results 191-217

By E. P. VAN DEN BAN, M. FLENSTED-JENSEN, and

H . SCHLICHTKRULL

Cohomology and Group Representations 219-243

By DAVID A. VOGAN, JR .

Introduction to the Langlands Program 245-302

By A. W. KNAP P

Representations of GL(n,F) in the Nonarchimedean Case 303-319

By C. MCEGLIN

Principal L-functions for GL(n) 321-329

By HERVE JACQUET