05580 - An Invitation to Quantum Groups and Duality [Timmermann].pdf

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EMS Textbooks in Mathematics
EMS Textbooks in Mathematics is
a book series aimed at students or professional mathematici-
ans seeking an introduction into a particular field. The individual volumes are intended to provide
not only relevant techniques, results and their applications, but afford insight into the motivations
and ideas behind the theory. Suitably designed exercises help to master the subject and prepare
the reader for the study of more advanced and specialized literature.
Jørn Justesen and Tom Høholdt,
A Course In Error-Correcting Codes
Markus Stroppel,
Locally Compact Groups
Peter Kunkel and Volker Mehrmann,
Differential-Algebraic Equations
Dorothee D. Haroske and Hans Triebel,
Distributions, Sobolev Spaces, Elliptic Equations
Thomas Timmermann
An Invitation to
Quantum Groups
and Duality
From Hopf Algebras to Multiplicative
Unitaries and Beyond
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Author:
Thomas Timmermann
Fachbereich Mathematik und Informatik
Westfälische Wilhelms-Universität Münster
Einsteinstraße 62
48149 Münster
Germany
E-Mail: timmermt@math.uni-muenster.de
2000 Mathematical Subject Classification (primary; secondary): 16W30, 46-01, 46L55; 22A22,
22D25, 22D35, 46L10
Key words: Hopf algebras, duality, multiplicative unitaries, quantum groups, quantum groupoids
The Swiss National Library lists this publication in The Swiss Book, the Swiss national bibliography,
and the detailed bibliographic data are available on the Internet at http://www.helveticat.ch.
ISBN 978-3-03719-043-2
This work is subject to copyright. All rights are reserved, whether the whole or part of the material
is concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation,
broadcasting, reproduction on microfilms or in other ways, and storage in data banks. For any kind of
use permission of the copyright owner must be obtained.
© 2008 European Mathematical Society
Contact address:
European Mathematical Society Publishing House
Seminar for Applied Mathematics
ETH-Zentrum FLI C4
CH-8092 Zürich
Switzerland
Phone: +41 (0)44 632 34 36
Email: info@ems-ph.org
Homepage: www.ems-ph.org
Typeset using the author’s TEX files: I. Zimmermann, Freiburg
Printed on acid-free paper produced from chlorine-free pulp. TCF
°°
Printed in Germany
987654321

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