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Introduction to Superanalysis

Author: F A Berezin; A A Kirillov
Publisher: Dordrecht : Springer Netherlands, 1987.
Series: Mathematical physics and applied mathematics, 9.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
TO SUPERANAL YSIS Edited by A.A. KIRILLOV Translated from the Russian by J. Niederle and R. Kotecky English translation edited and revised by Dimitri Leites SPRINGER-SCIENCE+BUSINESS MEDIA, B.V. Library of Congress Cataloging-in-Publication Data Berezin, F.A. (Feliks Aleksandrovich) Introduction to superanalysis. (Mathematical physics and applied mathematics; v. 9) Part I is translation of: Vvedenie v algebru i  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: F A Berezin; A A Kirillov
ISBN: 9789401719636 9401719632
OCLC Number: 851382062
Description: 1 online resource (xii, 424 pages).
Contents: 1. Grassmann Algebra --
2. Superanalysis --
3. Linear Algebra in Z2-Graded Spaces --
4. Supermanifolds in General --
5. Lie Superalgebras --
1. Lie Superalgebras --
2. Lie Supergroups --
3. Laplace-Casimir Operators (General Theory) --
4. Radial Parts of the Laplace Operators on the Lie Supergrouups U(p, q) and C(m, n) --
5. Construction of Representations of Lie Supergroups U(p, q) and C(m, n) --
Appendix 1. Particle Spin Dynamics as the Grassmann Variant of Classical Mechanics --
Appendix 2. Supersymmetry and Supergravity by V.I. Ogievetsky --
Supplement. List of F.A. Berezin's Published Works.
Series Title: Mathematical physics and applied mathematics, 9.
Responsibility: by Felix Alexandrovich Berezin ; edited by A.A. Kirillov.
More information:

Abstract:

TO SUPERANAL YSIS Edited by A.A. KIRILLOV Translated from the Russian by J. Niederle and R. Kotecky English translation edited and revised by Dimitri Leites SPRINGER-SCIENCE+BUSINESS MEDIA, B.V. Library of Congress Cataloging-in-Publication Data Berezin, F.A. (Feliks Aleksandrovich) Introduction to superanalysis. (Mathematical physics and applied mathematics; v. 9) Part I is translation of: Vvedenie v algebru i analiz s antikommutirurushchimi peremennymi. Bibliography: p. Includes index. 1. Mathetical analysis. I. Title. II. Title: Superanalysis. III. Series. QA300. B459 1987 530. 15'5 87-16293 ISBN 978-90-481-8392-0 ISBN 978-94-017-1963-6 (eBook) DOI 10. 1007/978-94-017-1963-6 All Rights Reserved © 1987 by Springer Science+Business Media Dordrecht Originally published by D. Reidel Publishing Company, Dordrecht, Holland in 1987 No part of the material protected by this copyright notice may be reproduced in whole or in part or utilized in any form or by any means electronic or mechanical including photocopying recording or storing in any electronic information system without first obtaining the written permission of the copyright owner. CONTENTS EDITOR'S FOREWORD ix INTRODUCTION 1 1. The Sources 1 2. Supermanifolds 3 3. Additional Structures on Supermanifolds 11 4. Representations of Lie Superalgebras and Supergroups 21 5. Conclusion 23 References 24 PART I CHAPTER 1. GRASSMANN ALGEBRA 29 1. Basic Facts on Associative Algebras 29 2. Grassmann Algebras 35 3. Algebras A(U) 55 CHAPTER 2. SUPERANAL YSIS 74 1. Derivatives 74 2. Integral 76 CHAPTER 3. LINEAR ALGEBRA IN Zz-GRADED SPACES 90 1.

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