A Construction Of Singular Unitary Representations Of Reductive Lie Groups

A Construction of Singular Unitary Representations of Reductive Lie Groups

Singular Unitary Representations and Discrete Series for Indefinite Stiefel Manifolds $U(p,q;{\mathbb F})/U(p-m,q;{\mathbb F})$

This memoir examines the basic problem of finding vanishing theorems for Harish-Chandra modules. The results of these difficult problems contribute in a meaningful way to the singular unitary representation theory of reductive groups.

Applications of Group Theory in Physics and Mathematical Physics

The past decade has seen a renewal in the close ties between mathematics and physics. The Chicago Summer Seminar on Applications of Group Theory in Physics and Mathematical Physics, held in July, 1982, was organized to bring together a broad spectrum of scientists from theoretical physics, mathematical physics, and various branches of pure and applied mathematics in order to promote interaction and an exchange of ideas and results in areas of common interest. This volume contains the papers submitted by speakers at the Seminar. The reader will find several groups of articles varying from the most abstract aspects of mathematics to a concrete phenomenological description of some models applicable to particle physics. The papers have been divided into four categories corresponding to the principal topics covered at the Seminar. This is only a rough division, and some papers overlap two or more of these categories.