Advances in Lie Superalgebras
The volume is the outcome of the conference "Lie superalgebras," which was held at the Istituto Nazionale di Alta Matematica, in 2012. The conference gathered many specialists in the subject, and the talks held provided comprehensive insights into the new
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Editor-in-Chief V. Ancona Series Editors P. Cannarsa C. Canuto G. Coletti P. Marcellini G. Patrizio T. Ruggeri E. Strickland A. Verra
For further volumes: http://www.springer.com/series/10283
Maria Gorelik • Paolo Papi Editors
Advances in Lie Superalgebras
Editors Maria Gorelik Department of Mathematics The Weizmann Institute of Science Rehovot, Israel
Paolo Papi Dipartimento di Matematica Sapienza – Università di Roma Roma, Italy
ISSN: 2281-518X ISSN: 2281-5198 (electronic) Springer INdAM Series ISBN 978-3-319-02951-1 ISBN 978-3-319-02952-8 (eBook) DOI 10.1007/978-3-319-02952-8 Springer Cham Heidelberg New York Dordrecht London Library of Congress Control Number: 2013951834 Springer International Publishing Switzerland 2014 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. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. 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. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein.
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Preface
The first examples of Lie superalgebras appear in algebraic topology in the late 40’s (the Whitehead product on homotopy groups is a Lie superalgebra bracket) and in the context of deformation theory of complex structures (Nijenhuis, Frölicher and Nijenhuis) in the late 50’s. Shortly after, Gerstenhaber, in a series of fundamental papers, shed new ligh
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