Multiplier Hopf Algebras
In this chapter we collect definitions and basic results regarding Hopf algebras and multiplier Hopf algebras. Algebras are not assumed to have identities in general. Throughout we shall work over an arbitrary base field \( \mathbb {K} \) , and all tensor
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Christian Voigt Robert Yuncken
Complex Semisimple Quantum Groups and Representation Theory
Lecture Notes in Mathematics Volume 2264
Editors-in-Chief Jean-Michel Morel, CMLA, ENS, Cachan, France Bernard Teissier, IMJ-PRG, Paris, France Series Editors Karin Baur, University of Leeds, Leeds, UK Michel Brion, UGA, Grenoble, France Camillo De Lellis, IAS, Princeton, NJ, USA Alessio Figalli, ETH Zurich, Zurich, Switzerland Annette Huber, Albert Ludwig University, Freiburg, Germany Davar Khoshnevisan, The University of Utah, Salt Lake City, UT, USA Ioannis Kontoyiannis, University of Cambridge, Cambridge, UK Angela Kunoth, University of Cologne, Cologne, Germany Ariane Mézard, IMJ-PRG, Paris, France Mark Podolskij, University of Luxembourg, Esch-sur-Alzette, Luxembourg Sylvia Serfaty, NYU Courant, New York, NY, USA Gabriele Vezzosi, UniFI, Florence, Italy Anna Wienhard, Ruprecht Karl University, Heidelberg, Germany
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Christian Voigt • Robert Yuncken
Complex Semisimple Quantum Groups and Representation Theory
Christian Voigt School of Mathematics & Statistics University of Glasgow Glasgow, UK
Robert Yuncken Laboratoire de Mathématiques Blaise Pascal Université Clermont Auvergne Aubière Cedex, France
ISSN 0075-8434 ISSN 1617-9692 (electronic) Lecture Notes in Mathematics ISBN 978-3-030-52462-3 ISBN 978-3-030-52463-0 (eBook) https://doi.org/10.1007/978-3-030-52463-0 Mathematics Subject Classification: 20G42, 17B37, 16T05, 46L67, 81R50, 46L65 © The Editor(s) (if applicable) and The Author(s), under exclusive licence to Springer Nature Switzerland AG 2020 This work is subject to copyright. All rights are solely and exclusively licensed by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations
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