 BROWSE
 USED
 STAFF PICKS
 GIFTS + GIFT CARDS
 SELL BOOKS
 BLOG
 EVENTS
 FIND A STORE
 800.878.7323

On Order
$198.95
New Hardcover
Currently out of stock.
available for shipping or prepaid pickup only
Other titles in the Princeton Mathematical Series series:
Princeton Mathematical Series #45: Cohomological Induction and Unitary Representations (PMS45)by Anthony W. Knapp
Synopses & ReviewsPublisher Comments:This book offers a systematic treatmentthe first in book formof the development and use of cohomological induction to construct unitary representations. George Mackey introduced induction in 1950 as a real analysis construction for passing from a unitary representation of a closed subgroup of a locally compact group to a unitary representation of the whole group. Later a parallel construction using complex analysis and its associated cohomology theories grew up as a result of work by Borel, Weil, HarishChandra, Bott, Langlands, Kostant, and Schmid. Cohomological induction, introduced by Zuckerman, is an algebraic analog that is technically more manageable than the complexanalysis construction and leads to a large repertory of irreducible unitary representations of reductive Lie groups.
The book, which is accessible to students beyond the first year of graduate school, will interest mathematicians and physicists who want to learn about and take advantage of the algebraic side of the representation theory of Lie groups. Cohomological Induction and Unitary Representations develops the necessary background in representation theory and includes an introductory chapter of motivation, a thorough treatment of the "translation principle," and four appendices on algebra and analysis. Synopsis:This book offers a systematic treatmentthe first in book formof the development and use of cohomological induction to construct unitary representations. George Mackey introduced induction in 1950 as a real analysis construction for passing from a unitary representation of a closed subgroup of a locally compact group to a unitary representation of the whole group. Later a parallel construction using complex analysis and its associated cohomology theories grew up as a result of work by Borel, Weil, HarishChandra, Bott, Langlands, Kostant, and Schmid. Cohomological induction, introduced by Zuckerman, is an algebraic analog that is technically more manageable than the complexanalysis construction and leads to a large repertory of irreducible unitary representations of reductive Lie groups.
The book, which is accessible to students beyond the first year of graduate school, will interest mathematicians and physicists who want to learn about and take advantage of the algebraic side of the representation theory of Lie groups. Cohomological Induction and Unitary Representations develops the necessary background in representation theory and includes an introductory chapter of motivation, a thorough treatment of the "translation principle," and four appendices on algebra and analysis. Description:Includes bibliographical references (p. 919932) and indexes.
Table of Contents
What Our Readers Are SayingBe the first to add a comment for a chance to win!Product Details
Other books you might likeRelated Subjects
Education » Writing


