Representations and Nilpotent Orbits of Lie Algebraic Systems In Hon
This volume, a celebration of Anthony Joseph’s fundamental influence on classical and quantized representation theory, explores a wide array of current topics in Lie theory by experts in the area. The chapters are based on the 2017 sister conferences titl
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Maria Gorelik Vladimir Hinich Anna Melnikov Editors
Representations and Nilpotent Orbits of Lie Algebraic Systems In Honour of the 75th Birthday of Tony Joseph
Progress in Mathematics Volume 330
Series Editors Antoine Chambert-Loir, Université Paris-Diderot, Paris, France Jiang-Hua Lu, The University of Hong Kong, Hong Kong SAR, China Michael Ruzhansky, Imperial College London, London, UK Yuri Tschinkel, Courant Institute of Mathematical Sciences, New York, USA
More information about this series at http://www.springer.com/series/4848
Maria Gorelik • Vladimir Hinich • Anna Melnikov Editors
Representations and Nilpotent Orbits of Lie Algebraic Systems In Honour of the 75th Birthday of Tony Joseph
Editors Maria Gorelik Department of Mathematics Weizmann Institute of Science Rehovot, Israel
Vladimir Hinich Department of Mathematics University of Haifa Haifa, Israel
Anna Melnikov Department of Mathematics University of Haifa Haifa, Israel
ISSN 0743-1643 ISSN 2296-505X (electronic) Progress in Mathematics ISBN 978-3-030-23530-7 ISBN 978-3-030-23531-4 (eBook) https://doi.org/10.1007/978-3-030-23531-4 Mathematics Subject Classification: 22-XX, 22Exx, 22E25, 22E27 © Springer Nature Switzerland AG 2019 This work is subject to copyright. All rights are reserved 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 and therefore free for general use. The publisher, the authors, and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This book is published under the imprint Birkhäuser, www.birkhauser-science.com by the registered company Springer Nature Switzerland AG. The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Preface
Lie theory, inaugurated through the fundamental work of Sophus Lie during the late nineteenth century, has proved central in many areas of mathematics and theoretical physics. Sophus Lie’s formulation was originally in the language of analysis and geometry; however, by now, a vast algebraic counterpart of the theory has been developed. As in algebraic geometry, the deepest and most far-rea
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