| eBook ISBN: | 978-0-8218-8128-6 |
| Product Code: | CONM/449.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| eBook ISBN: | 978-0-8218-8128-6 |
| Product Code: | CONM/449.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
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Book DetailsContemporary MathematicsVolume: 449; 2008; 446 ppMSC: 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.
ReadershipGraduate students and research mathematicians interested in ergodic theory and mathematicial physics.
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Table of Contents
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Articles
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Robert S. Doran and Arlan Ramsay — George Mackey 1916–2006 [ MR 2391796 ]
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Scot Adams — Decay to zero of matrix coefficients at adjoint infinity [ MR 2391797 ]
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James Arthur — Induced representations, intertwining operators and transfer [ MR 2391798 ]
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Lawrence G. Brown — MASA’s and certain type I closed faces of $C^*$-algebras [ MR 2391799 ]
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Dorin Ervin Dutkay and Palle E. T. Jorgensen — A duality approach to representations of Baumslag-Solitar groups [ MR 2391800 ]
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Siegfried Echterhoff and Dana P. Williams — The Mackey machine for crossed products: inducing primitive ideals [ MR 2391801 ]
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Edward G. Effros — Classifying the unclassifiables [ MR 2391802 ]
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Nigel Higson — The Mackey analogy and $K$-theory [ MR 2391803 ]
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Roger E. Howe — Some recent applications of induced representations [ MR 2391804 ]
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Marius Ionescu and Paul S. Muhly — Groupoid methods in wavelet analysis [ MR 2391805 ]
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Arthur Jaffe — Quantum theory and relativity [ MR 2391806 ]
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A. A. Kirillov — Thoughts about George Mackey and his imprimitivity theorem [ MR 2391807 ]
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Calvin C. Moore — Virtual groups 45 years later [ MR 2391808 ]
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Fiona Murnaghan — Spherical characters: the supercuspidal case [ MR 2391809 ]
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Gestur Ólafsson and Henrik Schlichtkrull — Representation theory, Radon transform and the heat equation on a Riemannian symmetric space [ MR 2391810 ]
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Judith A. Packer — Projective representations and the Mackey obstruction—a survey [ MR 2391811 ]
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Arlan Ramsay — Virtual groups for group representations [ MR 2391812 ]
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Marc A. Rieffel — A global view of equivariant vector bundles and Dirac operators on some compact homogeneous spaces [ MR 2391813 ]
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V. S. Varadarajan — George Mackey and his work on representation theory and foundations of physics [ MR 2391814 ]
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Additional Material
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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.
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 ]
