Representation Theory of Finite Monoids
This first text on the subject provides a comprehensive introduction to the representation theory of finite monoids. Carefully worked examples and exercises provide the bells and whistles for graduate accessibility, bringing a broad range of advanced read
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Benjamin Steinberg
Representation Theory of Finite Monoids
Universitext
Universitext Series Editors
Sheldon Axler San Francisco State University Vincenzo Capasso Universit`a degli Studi di Milano
Carles Casacuberta Universitat de Barcelona Angus MacIntyre Queen Mary, University of London Kenneth Ribet University of California, Berkeley Claude Sabbah ´ CNRS, Ecole polytechnique, Palaiseau, France Endre S¨uli University of Oxford Wojbor A. Woyczy´nski Case Western Reserve University Cleveland, OH
Universitext is a series of textbooks that presents material from a wide variety of mathematical disciplines at master’s level and beyond. The books, often well classtested by their author, may have an informal, personal even experimental approach to their subject matter. Some of the most successful and established books in the series have evolved through several editions, always following the evolution of teaching curricula, to very polished texts. Thus as research topics trickle down into graduate-level teaching, first textbooks written for new, cutting-edge courses may make their way into Universitext.
More information about this series at http://www.springer.com/series/223
Benjamin Steinberg
Representation Theory of Finite Monoids
123
Benjamin Steinberg Department of Mathematics The City College of New York (CCNY) New York, NY, USA
ISSN 0172-5939 Universitext ISBN 978-3-319-43930-3 DOI 10.1007/978-3-319-43932-7
ISSN 2191-6675 (electronic) ISBN 978-3-319-43932-7 (eBook)
Library of Congress Control Number: 2016954642 © Springer International Publishing Switzerland 2016 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. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
For Ariane and Nicholas
Preface
This text aims to provide an introduction to the representation theory of finite monoids for advan
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