The representation theory of Lie groups plays a central role in
both clas sical and recent developments in many parts of
mathematics and physics. In August, 1995, the Fifth Workshop on
Representation Theory of Lie Groups and its Applications took place
at the Universidad Nacional de Cordoba in Argentina. Organized by
Joseph Wolf, Nolan Wallach, Roberto Miatello, Juan Tirao, and Jorge
Vargas, the workshop offered expository courses on current
research, and individual lectures on more specialized topics. The
present vol ume reflects the dual character of the workshop. Many
of the articles will be accessible to graduate students and others
entering the field. Here is a rough outline of the mathematical
content. (The editors beg the indulgence of the readers for any
lapses in this preface in the high standards of historical and
mathematical accuracy that were imposed on the authors of the
articles. ) Connections between flag varieties and representation
theory for real re ductive groups have been studied for almost
fifty years, from the work of Gelfand and Naimark on principal
series representations to that of Beilinson and Bernstein on
localization. The article of Wolf provides a detailed introduc tion
to the analytic side of these developments. He describes the
construction of standard tempered representations in terms of
square-integrable partially harmonic forms (on certain real group
orbits on a flag variety), and outlines the ingredients in the
Plancherel formula. Finally, he describes recent work on the
complex geometry of real group orbits on partial flag varieties."
General
| Imprint: |
Springer-Verlag New York
|
| Country of origin: |
United States |
| Series: |
Progress in Mathematics, 158 |
| Release date: |
October 2011 |
| First published: |
1998 |
| Editors: |
Juan Tirao
• David Vogan
• Joe Wolf
|
| Dimensions: |
235 x 155 x 18mm (L x W x T) |
| Format: |
Paperback
|
| Pages: |
326 |
| Edition: |
Softcover reprint of the original 1st ed. 1998 |
| ISBN-13: |
978-1-4612-8681-3 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Geometry >
General
|
| LSN: |
1-4612-8681-6 |
| Barcode: |
9781461286813 |
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