Algebraic Operads
In many areas of mathematics some “higher operations” are arising. These have become so important that several research projects refer to such expressions. Higher operations form new types of algebras. The key to understanding and comparing them, to creat
- PDF / 5,932,840 Bytes
- 649 Pages / 439.37 x 666.142 pts Page_size
- 93 Downloads / 369 Views
Series editors M. Berger P. de la Harpe F. Hirzebruch N.J. Hitchin L. Hörmander A. Kupiainen G. Lebeau F.-H. Lin S. Mori B.C. Ngô M. Ratner D. Serre N.J.A. Sloane A.M. Vershik M. Waldschmidt Editor-in-Chief A. Chenciner J. Coates
S.R.S. Varadhan
346
For further volumes: www.springer.com/series/138
Jean-Louis Loday r Bruno Vallette
Algebraic Operads
Jean-Louis Loday (1946–2012) IRMA, CNRS et Université de Strasbourg Strasbourg, France
Bruno Vallette Lab. de Mathématiques J.A. Dieudonné Université de Nice-Sophia Antipolis Nice, France
ISSN 0072-7830 Grundlehren der mathematischen Wissenschaften ISBN 978-3-642-30361-6 ISBN 978-3-642-30362-3 (eBook) DOI 10.1007/978-3-642-30362-3 Springer Heidelberg New York Dordrecht London Library of Congress Control Number: 2012944723 Mathematics Subject Classification: 18D50, 17AXX, 18G50, 55P48, 57T30 © Springer-Verlag Berlin Heidelberg 2012 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. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
À la mémoire de JLL
Preface
An operad is an algebraic device which encodes a type of algebras. Instead of studying the properties of a particular algebra, we focus on the universal operations that can be performed on the elements of any algebra of a given type. The information contained in an operad consists in these operations and
Data Loading...
