ENGLISH

Unitary Representations of Reductive Lie Groups. (AM-118), Volume 118

By David A. Vogan

Book information

Publisher
Princeton University Press
Year
2016
ISBN
9781400882380
DOI
10.1515/9781400882380
Language
english
Format
PDF
Filesize
6 MB (6691567 bytes)
Series
Annals of Mathematics Studies; 118
Pages
319\319
Library
degruyter.com
Time added
2023-08-26 04:43:13

Description

This book is an expanded version of the Hermann Weyl Lectures given at the Institute for Advanced Study in January 1986. It outlines some of what is now known about irreducible unitary representations of real reductive groups, providing fairly complete definitions and references, and sketches (at least) of most proofs. The first half of the book is devoted to the three more or less understood constructions of such representations: parabolic induction, complementary series, and cohomological parabolic induction. This culminates in the description of all irreducible unitary representation of the general linear groups. For other groups, one expects to need a new construction, giving "unipotent representations." The latter half of the book explains the evidence for that expectation and suggests a partial definition of unipotent representations.

Similar books