Symmetry: Representation Theory and Its Applications In Honor of Nol

Symmetry has served as an organizing principle in Nolan R. Wallach's fundamental contributions to representation theory, harmonic analysis, algebraic geometry, combinatorics, number theory, differential equations, Riemannian geometry, ring theory, and qua

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Roger Howe Markus Hunziker Jeb F. Willenbring Editors

Symmetry: Representation Theory and Its Applications In Honor of Nolan R. Wallach

Progress in Mathematics Volume 257

Series Editors Hyman Bass Jiang-Hua Lu Joseph Oesterlé Yuri Tschinkel

More information about this series at http://www.springer.com/series/4848

Roger Howe • Markus Hunziker Jeb F. Willenbring Editors

Symmetry: Representation Theory and Its Applications In Honor of Nolan R. Wallach

Editors Roger Howe Department of Mathematics Yale University New Haven, CT, USA

Markus Hunziker Department of Mathematics Baylor University Waco, TX, USA

Jeb F. Willenbring Department of Mathematical Sciences University of Wisconsin-Milwaukee Milwaukee, WI, USA

ISSN 0743-1643 ISSN 2296-505X (electronic) ISBN 978-1-4939-1589-7 ISBN 978-1-4939-1590-3 (eBook) DOI 10.1007/978-1-4939-1590-3 Springer New York Heidelberg Dordrecht London Library of Congress Control Number: 2014958009 Mathematics Subject Classification (2010): 05E05, 11F70, 14L35, 17B10, 17B67, 20G05, 20G20, 22E30, 22E40, 22E41, 22E45, 22E46, 32K05, 53C40, 57T15, 58G03, 58G25, 81P15, 81P68 © Springer Science+Business Media New York 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. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.birkhauser-science.com)

Nolan R. Wallach (2013)

Nolan and Barbara Wallach, We