Daniel S. Freed
Rafe Mazzeo (Chair)
2010 Mathematics Subject Classification. Primary 22D05, 22E05, 22E15, 11B30, 20F65.
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Library of Congress Cataloging-in-Publication Data
Tao, Terence, 1975–
Hilbert’s fifth problem and related topics / Terence Tao.
pages cm. – (Graduate studies in mathematics ; volume 153)
Includes bibliographical references and index.
ISBN 978-1-4704-1564-8 (alk. paper)
1. Hilbert, David, 1862–1943. 2. Lie groups. 3. Lie algebras. Characteristic functions.
512 .482–dc23 2014009022
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in teaching or research. Permission is granted to quote brief passages from this publication in
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Republication, systematic copying, or multiple reproduction of any material in this publication
is permitted only under license from the American Mathematical Society. Requests for such
permission should be addressed to the Acquisitions Department, American Mathematical Society,
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c 2014 by Terence Tao. All right reserved.
Printed in the United States of America.
∞ The paper used in this book is acid-free and falls within the guidelines
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