Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
The following link can be shared to navigate to this page. You can select the link to copy or click the 'Copy To Clipboard' button below.
Copy To Clipboard
Successfully Copied!
Representation Theory of Lie Groups
 
Edited by: Jeffrey Adams University of Maryland, College Park, College Park, MD
David Vogan Massachusetts Institute of Technology, Cambridge, MA
A co-publication of the AMS and IAS/Park City Mathematics Institute
Front Cover for Representation Theory of Lie Groups
Available Formats:
Softcover ISBN: 978-1-4704-2314-8
Product Code: PCMS/8.S
List Price: $64.00
MAA Member Price: $57.60
AMS Member Price: $51.20
Electronic ISBN: 978-1-4704-3907-1
Product Code: PCMS/8.E
List Price: $60.00
MAA Member Price: $54.00
AMS Member Price: $48.00
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $96.00
MAA Member Price: $86.40
AMS Member Price: $76.80
Front Cover for Representation Theory of Lie Groups
Click above image for expanded view
  • Front Cover for Representation Theory of Lie Groups
  • Back Cover for Representation Theory of Lie Groups
Representation Theory of Lie Groups
Edited by: Jeffrey Adams University of Maryland, College Park, College Park, MD
David Vogan Massachusetts Institute of Technology, Cambridge, MA
A co-publication of the AMS and IAS/Park City Mathematics Institute
Available Formats:
Softcover ISBN:  978-1-4704-2314-8
Product Code:  PCMS/8.S
List Price: $64.00
MAA Member Price: $57.60
AMS Member Price: $51.20
Electronic ISBN:  978-1-4704-3907-1
Product Code:  PCMS/8.E
List Price: $60.00
MAA Member Price: $54.00
AMS Member Price: $48.00
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $96.00
MAA Member Price: $86.40
AMS Member Price: $76.80
  • Book Details
     
     
    IAS/Park City Mathematics Series
    Volume: 82000; 340 pp
    MSC: Primary 22; Secondary 43; 57;

    This book contains written versions of the lectures given at the PCMI Graduate Summer School on the representation theory of Lie groups. The volume begins with lectures by A. Knapp and P. Trapa outlining the state of the subject around the year 1975, specifically, the fundamental results of Harish-Chandra on the general structure of infinite-dimensional representations and the Langlands classification.

    Additional contributions outline developments in four of the most active areas of research over the past 20 years. The clearly written articles present results to date, as follows: R. Zierau and L. Barchini discuss the construction of representations on Dolbeault cohomology spaces. D. Vogan describes the status of the Kirillov-Kostant “philosophy of coadjoint orbits” for unitary representations. K. Vilonen presents recent advances in the Beilinson-Bernstein theory of “localization”. And Jian-Shu Li covers Howe's theory of “dual reductive pairs”.

    Each contributor to the volume presents the topics in a unique, comprehensive, and accessible manner geared toward advanced graduate students and researchers. Students should have completed the standard introductory graduate courses for full comprehension of the work. The book would also serve well as a supplementary text for a course on introductory infinite-dimensional representation theory.

    Readership

    Graduate students and research mathematicians interested in representation theory specifically Lie groups and their representations.

  • Table of Contents
     
     
    • Chapters
    • Introduction
    • Representations of semisimple Lie groups
    • Representations in Dolbeault cohomology
    • Unitary representations attached to elliptic orbits. A geometric approach
    • The method of adjoint orbits for real reductive groups
    • Geometric methods in representation theory
    • Minimal representations and reductive dual pairs
  • Reviews
     
     
    • Altogether, the volume brings a coherent description of an important and beautiful part of representation theory, which certainly will be of substantial use for postgraduate students and mathematicians interested in the area.

      European Mathematical Society Newsletter
  • Request Review Copy
Volume: 82000; 340 pp
MSC: Primary 22; Secondary 43; 57;

This book contains written versions of the lectures given at the PCMI Graduate Summer School on the representation theory of Lie groups. The volume begins with lectures by A. Knapp and P. Trapa outlining the state of the subject around the year 1975, specifically, the fundamental results of Harish-Chandra on the general structure of infinite-dimensional representations and the Langlands classification.

Additional contributions outline developments in four of the most active areas of research over the past 20 years. The clearly written articles present results to date, as follows: R. Zierau and L. Barchini discuss the construction of representations on Dolbeault cohomology spaces. D. Vogan describes the status of the Kirillov-Kostant “philosophy of coadjoint orbits” for unitary representations. K. Vilonen presents recent advances in the Beilinson-Bernstein theory of “localization”. And Jian-Shu Li covers Howe's theory of “dual reductive pairs”.

Each contributor to the volume presents the topics in a unique, comprehensive, and accessible manner geared toward advanced graduate students and researchers. Students should have completed the standard introductory graduate courses for full comprehension of the work. The book would also serve well as a supplementary text for a course on introductory infinite-dimensional representation theory.

Readership

Graduate students and research mathematicians interested in representation theory specifically Lie groups and their representations.

  • Chapters
  • Introduction
  • Representations of semisimple Lie groups
  • Representations in Dolbeault cohomology
  • Unitary representations attached to elliptic orbits. A geometric approach
  • The method of adjoint orbits for real reductive groups
  • Geometric methods in representation theory
  • Minimal representations and reductive dual pairs
  • Altogether, the volume brings a coherent description of an important and beautiful part of representation theory, which certainly will be of substantial use for postgraduate students and mathematicians interested in the area.

    European Mathematical Society Newsletter
Please select which format for which you are requesting permissions.