Overview
- Editors:
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Geoffrey Mason
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Department of Mathematics, University of California, Santa Cruz, Santa Cruz, USA
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Ivan Penkov
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Jacobs University, Bremen, Germany
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Joseph A. Wolf
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Department of Mathematics, University of California, Berkeley, Berkeley, USA
- Includes contributions from an international group of experts in representation and Lie theory
- Reflects the widespread influence of the Lie Theory Workshop on areas such as harmonic analysis, differential and algebraic geometry, and number theory
- Contains articles covering representation theory from algebraic, geometric, analytic, and topological perspectives
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About this book
The Lie Theory Workshop, founded by Joe Wolf (UC, Berkeley), has been running for over two decades. These workshops have been sponsored by the NSF, noting the talks have been seminal in describing new perspectives in the field covering broad areas of current research. At the beginning, the top universities in California and Utah hosted the meetings which continue to run on a quarterly basis. Experts in representation theory/Lie theory from various parts of the US, Europe, Asia (China, Japan, Singapore, Russia), Canada, and South and Central America were routinely invited to give talks at these meetings. Nowadays, the workshops are also hosted at universities in Louisiana, Virginia, and Oklahoma. The contributors to this volume have all participated in these Lie theory workshops and include in this volume expository articles which cover representation theory from the algebraic, geometric, analytic, and topological perspectives with also important connections to math physics. These survey articles, review and update the prominent seminal series of workshops in representation/Lie theory mentioned-above, and reflects the widespread influence of those workshops in such areas as harmonic analysis, representation theory, differential geometry, algebraic geometry, number theory, and mathematical physics. Many of the contributors have had prominent roles in both the classical and modern developments of Lie theory and its applications.
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Table of contents (17 chapters)
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- Yuri Bahturin, Michel Goze, Elisabeth Remm
Pages 1-50
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- Christopher P. Bendel, Brian D. Boe, Christopher M. Drupieski, Daniel K. Nakano, Brian J. Parshall, Cornelius Pillen et al.
Pages 51-69
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- Ben Cox, Vyacheslav Futorny, Renato Alessandro Martins
Pages 111-136
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- Vasily Dolgushev, Thomas Willwacher
Pages 137-158
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- Michael Eastwood, Alexander Isaev
Pages 159-173
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- Vyacheslav Futorny, Iryna Kashuba
Pages 175-183
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- Geoffrey Mason, Siu-Hung Ng
Pages 229-246
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- Geoffrey Mason, Gaywalee Yamskulna
Pages 247-274
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- Ivan Penkov, Vera Serganova
Pages 291-330
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- Ivan Penkov, Gregg Zuckerman
Pages 331-350
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- Michael P. Tuite, Hoang Dinh Van
Pages 351-384
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- Anthony van Groningen, Jeb F. Willenbring
Pages 385-397
Editors and Affiliations
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Department of Mathematics, University of California, Santa Cruz, Santa Cruz, USA
Geoffrey Mason
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Jacobs University, Bremen, Germany
Ivan Penkov
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Department of Mathematics, University of California, Berkeley, Berkeley, USA
Joseph A. Wolf