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
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
Group Representations, Ergodic Theory, and Mathematical Physics: A Tribute to George W. Mackey
 
Edited by: Robert S. Doran Texas Christian University, Fort Worth, TX
Calvin C. Moore University of California, Berkeley, CA
Robert J. Zimmer University of Chicago, Chicago, IL
Front Cover for Group Representations, Ergodic Theory, and Mathematical Physics
eBookISBN:  978-0-8218-8128-6
Product Code:  CONM/449.E
List Price: $123.00
MAA Member Price: $110.70
AMS Member Price: $98.40
Front Cover for Group Representations, Ergodic Theory, and Mathematical Physics
Click above image for expanded view
  • Front Cover for Group Representations, Ergodic Theory, and Mathematical Physics
  • Back Cover for Group Representations, Ergodic Theory, and Mathematical Physics
Group Representations, Ergodic Theory, and Mathematical Physics: A Tribute to George W. Mackey
Edited by: Robert S. Doran Texas Christian University, Fort Worth, TX
Calvin C. Moore University of California, Berkeley, CA
Robert J. Zimmer University of Chicago, Chicago, IL
eBook ISBN:  978-0-8218-8128-6
Product Code:  CONM/449.E
List Price: $123.00
MAA Member Price: $110.70
AMS Member Price: $98.40
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 4492008; 446 pp
    MSC: Primary 22; 28; 43; 46; 58; 81;

    George Mackey was an extraordinary mathematician of great power and vision. His profound contributions to representation theory, harmonic analysis, ergodic theory, and mathematical physics left a rich legacy for researchers that continues today. This book is based on lectures presented at an AMS special session held in January 2007 in New Orleans dedicated to his memory. The papers, written especially for this volume by internationally-known mathematicians and mathematical physicists, range from expository and historical surveys to original high-level research articles. The influence of Mackey's fundamental ideas is apparent throughout. The introductory article contains recollections from former students, friends, colleagues, and family as well as a biography describing his distinguished career as a mathematician at Harvard, where he held the Landon D. Clay Professorship of Mathematics.

    Topics examined here include recent results on induced representations, virtual groups, the Mackey Machine and crossed products, representations of Baumslag-Solitar groups, the Radon transform and the heat equation, groupoids in the study of wavelets, and quantum theory. The in-depth historical surveys of Mackey's work on representation theory, ergodic theory, and physics, together with recent developments inspired by his fundamental work will be of considerable interest to both graduate students and researchers alike.

    Readership

    Graduate students and research mathematicians interested in ergodic theory and mathematicial physics.

  • Table of Contents
     
     
    • Articles
    • Robert S. Doran and Arlan Ramsay - George Mackey 1916–2006 [ MR 2391796 ]
    • Scot Adams - Decay to zero of matrix coefficients at adjoint infinity [ MR 2391797 ]
    • James Arthur - Induced representations, intertwining operators and transfer [ MR 2391798 ]
    • Lawrence G. Brown - MASA’s and certain type I closed faces of $C^*$-algebras [ MR 2391799 ]
    • Dorin Ervin Dutkay and Palle E. T. Jorgensen - A duality approach to representations of Baumslag-Solitar groups [ MR 2391800 ]
    • Siegfried Echterhoff and Dana P. Williams - The Mackey machine for crossed products: inducing primitive ideals [ MR 2391801 ]
    • Edward G. Effros - Classifying the unclassifiables [ MR 2391802 ]
    • Nigel Higson - The Mackey analogy and $K$-theory [ MR 2391803 ]
    • Roger E. Howe - Some recent applications of induced representations [ MR 2391804 ]
    • Marius Ionescu and Paul S. Muhly - Groupoid methods in wavelet analysis [ MR 2391805 ]
    • Arthur Jaffe - Quantum theory and relativity [ MR 2391806 ]
    • A. A. Kirillov - Thoughts about George Mackey and his imprimitivity theorem [ MR 2391807 ]
    • Calvin C. Moore - Virtual groups 45 years later [ MR 2391808 ]
    • Fiona Murnaghan - Spherical characters: the supercuspidal case [ MR 2391809 ]
    • Gestur Ólafsson and Henrik Schlichtkrull - Representation theory, Radon transform and the heat equation on a Riemannian symmetric space [ MR 2391810 ]
    • Judith A. Packer - Projective representations and the Mackey obstruction—a survey [ MR 2391811 ]
    • Arlan Ramsay - Virtual groups for group representations [ MR 2391812 ]
    • Marc A. Rieffel - A global view of equivariant vector bundles and Dirac operators on some compact homogeneous spaces [ MR 2391813 ]
    • V. S. Varadarajan - George Mackey and his work on representation theory and foundations of physics [ MR 2391814 ]
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for reviewers who would like to review an AMS book
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 4492008; 446 pp
MSC: Primary 22; 28; 43; 46; 58; 81;

George Mackey was an extraordinary mathematician of great power and vision. His profound contributions to representation theory, harmonic analysis, ergodic theory, and mathematical physics left a rich legacy for researchers that continues today. This book is based on lectures presented at an AMS special session held in January 2007 in New Orleans dedicated to his memory. The papers, written especially for this volume by internationally-known mathematicians and mathematical physicists, range from expository and historical surveys to original high-level research articles. The influence of Mackey's fundamental ideas is apparent throughout. The introductory article contains recollections from former students, friends, colleagues, and family as well as a biography describing his distinguished career as a mathematician at Harvard, where he held the Landon D. Clay Professorship of Mathematics.

Topics examined here include recent results on induced representations, virtual groups, the Mackey Machine and crossed products, representations of Baumslag-Solitar groups, the Radon transform and the heat equation, groupoids in the study of wavelets, and quantum theory. The in-depth historical surveys of Mackey's work on representation theory, ergodic theory, and physics, together with recent developments inspired by his fundamental work will be of considerable interest to both graduate students and researchers alike.

Readership

Graduate students and research mathematicians interested in ergodic theory and mathematicial physics.

  • Articles
  • Robert S. Doran and Arlan Ramsay - George Mackey 1916–2006 [ MR 2391796 ]
  • Scot Adams - Decay to zero of matrix coefficients at adjoint infinity [ MR 2391797 ]
  • James Arthur - Induced representations, intertwining operators and transfer [ MR 2391798 ]
  • Lawrence G. Brown - MASA’s and certain type I closed faces of $C^*$-algebras [ MR 2391799 ]
  • Dorin Ervin Dutkay and Palle E. T. Jorgensen - A duality approach to representations of Baumslag-Solitar groups [ MR 2391800 ]
  • Siegfried Echterhoff and Dana P. Williams - The Mackey machine for crossed products: inducing primitive ideals [ MR 2391801 ]
  • Edward G. Effros - Classifying the unclassifiables [ MR 2391802 ]
  • Nigel Higson - The Mackey analogy and $K$-theory [ MR 2391803 ]
  • Roger E. Howe - Some recent applications of induced representations [ MR 2391804 ]
  • Marius Ionescu and Paul S. Muhly - Groupoid methods in wavelet analysis [ MR 2391805 ]
  • Arthur Jaffe - Quantum theory and relativity [ MR 2391806 ]
  • A. A. Kirillov - Thoughts about George Mackey and his imprimitivity theorem [ MR 2391807 ]
  • Calvin C. Moore - Virtual groups 45 years later [ MR 2391808 ]
  • Fiona Murnaghan - Spherical characters: the supercuspidal case [ MR 2391809 ]
  • Gestur Ólafsson and Henrik Schlichtkrull - Representation theory, Radon transform and the heat equation on a Riemannian symmetric space [ MR 2391810 ]
  • Judith A. Packer - Projective representations and the Mackey obstruction—a survey [ MR 2391811 ]
  • Arlan Ramsay - Virtual groups for group representations [ MR 2391812 ]
  • Marc A. Rieffel - A global view of equivariant vector bundles and Dirac operators on some compact homogeneous spaces [ MR 2391813 ]
  • V. S. Varadarajan - George Mackey and his work on representation theory and foundations of physics [ MR 2391814 ]
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
You may be interested in...
Please select which format for which you are requesting permissions.