Overview
- Authors:
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Ken A. Brown
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Department of Mathematics, University of Glasgow, Glasgow, UK
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Ken R. Goodearl
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Department of Mathematics, University of California, Santa Barbara, USA
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Table of contents (36 chapters)
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- Ken A. Brown, Ken R. Goodearl
Pages 1-14
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- Ken A. Brown, Ken R. Goodearl
Pages 15-23
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- Ken A. Brown, Ken R. Goodearl
Pages 25-28
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- Ken A. Brown, Ken R. Goodearl
Pages 29-37
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- Ken A. Brown, Ken R. Goodearl
Pages 39-44
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- Ken A. Brown, Ken R. Goodearl
Pages 45-58
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- Ken A. Brown, Ken R. Goodearl
Pages 59-67
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- Ken A. Brown, Ken R. Goodearl
Pages 69-80
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- Ken A. Brown, Ken R. Goodearl
Pages 81-91
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- Ken A. Brown, Ken R. Goodearl
Pages 93-96
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- Ken A. Brown, Ken R. Goodearl
Pages 97-101
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- Ken A. Brown, Ken R. Goodearl
Pages 103-111
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- Ken A. Brown, Ken R. Goodearl
Pages 113-117
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- Ken A. Brown, Ken R. Goodearl
Pages 119-123
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- Ken A. Brown, Ken R. Goodearl
Pages 125-127
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- Ken A. Brown, Ken R. Goodearl
Pages 129-133
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- Ken A. Brown, Ken R. Goodearl
Pages 135-146
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- Ken A. Brown, Ken R. Goodearl
Pages 147-158
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- Ken A. Brown, Ken R. Goodearl
Pages 159-164
About this book
In September 2000, at the Centre de Recerca Matematica in Barcelona, we pre sented a 30-hour Advanced Course on Algebraic Quantum Groups. After the course, we expanded and smoothed out the material presented in the lectures and inte grated it with the background material that we had prepared for the participants; this volume is the result. As our title implies, our aim in the course and in this text is to treat selected algebraic aspects of the subject of quantum groups. Sev eral of the words in the previous sentence call for some elaboration. First, we mean to convey several points by the term 'algebraic' - that we are concerned with algebraic objects, the quantized analogues of 'classical' algebraic objects (in contrast, for example, to quantized versions of continuous function algebras on compact groups); that we are interested in algebraic aspects of the structure of these objects and their representations (in contrast, for example, to applications to other areas of mathematics); and that our tools will be drawn primarily from noncommutative algebra, representation theory, and algebraic geometry. Second, the term 'quantum groups' itself. This label is attached to a large and rapidly diversifying field of mathematics and mathematical physics, originally launched by developments around 1980 in theoretical physics and statistical me chanics. It is a field driven much more by examples than by axioms, and so resists attempts at concise description (but see Chapter 1. 1 and the references therein).
Reviews
"The proofs, sketches of proofs, and quotations from the literature are carefully written. Numerous examples and exercises are included, and bibliographical notes conclude each chapter. The second and third parts end with a discussion of open problems and perspectives for further research."
--Mathematical Reviews
Authors and Affiliations
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Department of Mathematics, University of Glasgow, Glasgow, UK
Ken A. Brown
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Department of Mathematics, University of California, Santa Barbara, USA
Ken R. Goodearl