Group representations, ergodic theory, and mathematical physics : a tribute to George W. Mackey : AMS special session honoring the memory of George W. Mackey, January 7-8, 2007, New Orleans, Louisiana
著者
書誌事項
Group representations, ergodic theory, and mathematical physics : a tribute to George W. Mackey : AMS special session honoring the memory of George W. Mackey, January 7-8, 2007, New Orleans, Louisiana
(Contemporary mathematics, 449)
American Mathematical Society, c2008
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Group representations, ergodic theory, and mathematical physics: a tribute to George W. Mackey : AMS special session honoring the memory of George W. Mackey, January 7-8, 2007, New Orleans, Louisiana
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注記
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
George Mackey 1916-2006 by R. S. Doran and A. Ramsay Decay to zero of matrix coefficients at adjoint infinity by S. Adams Induced representations, intertwining operators and transfer by J. Arthur MASA's and certain type I closed faces of $C$*-algebras by L. G. Brown A duality approach to representations of Baumslag-Solitar groups by D. E. Dutkay and P. E. T. Jorgensen The Mackey machine for crossed products: Inducing primitive ideals by S. Echterhoff and D. P. Williams Classifying the unclassifiables by E. G. Effros The Mackey analogy and $K$-theory by N. Higson Some recent applications of induced representations by R. E. Howe Groupoid methods in wavelet analysis by M. Ionescu and P. S. Muhly Quantum theory and relativity by A. Jaffe Thoughts about George Mackey and his imprimitivity theorem by A. A. Kirillov Virtual groups 45 years later by C. C. Moore Spherical characters: The supercuspidal case by F. Murnaghan Representation theory, radon transform and the heat equation on a Riemannian symmetric space by G. Olafsson and H. Schlichtkrull Projective representations and the Mackey obstruction--A survey by J. A. Packer Virtual groups for group representations by A. Ramsay A global view of equivariant vector bundles and Dirac operators on some compact homogeneous spaces by M. A. Rieffel George Mackey and his work on representation theory and foundations of physics by V. S. Varadarajan.
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