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Synopsis
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).
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Review
"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
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Lectures on Algebraic Quantum Groups (Advanced Courses in Mathematics - CRM Barcelona)
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Lectures on Algebraic Quantum Groups
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Lectures on Algebraic Quantum Groups (Paperback)
Published by
Birkhauser Verlag AG, Basel, 2002
ISBN 10: 3764367148
ISBN 13: 9783764367145
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Paperback. Condition: new. Paperback. This textbook consists of an expanded set of lectures on algebraic aspects of quantum groups, concentrating particularly on quantized coordinate rings of algebraic groups and spaces and on quantized enveloping algebras of semisimple Lie algebras. The approach, a mixture of introductory textbook, lecture notes and overview survey, is designed to allow access by graduate students and by researchers new to the areas, as well as by experts, and to provide a basis for further study of the subject. Thus, large parts of the material are developed in full textbook style, with many examples and numerous exercises; other portions are discussed with sketches of proofs, while still other material is quoted without proof. Much associated material is outlined in the appendices. Among the topics covered in the book are a discussion of the nature of the prime spectrum of a "generic" quantum algebra and details of how the Hopf algebra structure of the algebra and the Poisson algebra structure of the centre carry important consequences for quantized algebras when the quantum parameter is a root of unity.The book is structured in three parts: one introductory part with many examples plus background material; one concentrating on generic quantized coordinate rings; and one dealing with quantized algebras at roots of unity. Many examples and exercises at the end of each chapter are provided. The book serves also as a survey book for researchers and contains open problems and questions. In September 2000, at the Centre de Recerca Matematica in Barcelona, we pre sented a 30-hour Advanced Course on Algebraic Quantum Groups. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9783764367145
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Lectures on Algebraic Quantum Groups (Advanced Courses in Mathematics - CRM Barcelona)
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Lectures on Algebraic Quantum Groups
Published by
Springer, Basel, Birkhäuser Basel, Birkhäuser Apr 2002, 2002
ISBN 10: 3764367148
ISBN 13: 9783764367145
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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). 348 pp. Englisch. Seller Inventory # 9783764367145
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Lectures on algebraic quantum groups.
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Basel u. a., Birkhäuser, 2002
ISBN 10: 3764367148
ISBN 13: 9783764367145
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Hardcover. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-01397 9783764367145 Sprache: Englisch Gewicht in Gramm: 1150. Seller Inventory # 2485261
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