Introduction to Superanalysis:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Weitere beteiligte Personen: | |
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1987
|
| Schriftenreihe: | Mathematical Physics and Applied Mathematics
9 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1007/978-94-017-1963-6 |
| Beschreibung: | TO SUPERANALYSIS 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. SUPERANALYSIS 74 1. Derivatives 74 2. Integral 76 CHAPTER 3. LINEAR ALGEBRA IN Zz-GRADED SPACES 90 1 |
| Umfang: | 1 Online-Ressource (XII, 424 p) |
| ISBN: | 9789401719636 9789048183920 |
| DOI: | 10.1007/978-94-017-1963-6 |
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| 490 | 1 | |a Mathematical Physics and Applied Mathematics |v 9 | |
| 500 | |a TO SUPERANALYSIS 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. SUPERANALYSIS 74 1. Derivatives 74 2. Integral 76 CHAPTER 3. LINEAR ALGEBRA IN Zz-GRADED SPACES 90 1 | ||
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| id | DE-604.BV042416296 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:10:35Z |
| institution | BVB |
| isbn | 9789401719636 9789048183920 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027851789 |
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| owner | DE-91 DE-BY-TUM DE-83 |
| owner_facet | DE-91 DE-BY-TUM DE-83 |
| physical | 1 Online-Ressource (XII, 424 p) |
| psigel | ZDB-2-PHA ZDB-2-BAE ZDB-2-PHA_Archive |
| publishDate | 1987 |
| publishDateSearch | 1987 |
| publishDateSort | 1987 |
| publisher | Springer Netherlands |
| record_format | marc |
| series | Mathematical Physics and Applied Mathematics |
| series2 | Mathematical Physics and Applied Mathematics |
| spellingShingle | Berezin, Feliks A. 1931-1980 Introduction to Superanalysis Mathematical Physics and Applied Mathematics Physics Global analysis (Mathematics) Theoretical, Mathematical and Computational Physics Analysis Superalgebra (DE-588)4304028-7 gnd Supermannigfaltigkeit (DE-588)4289285-5 gnd |
| subject_GND | (DE-588)4304028-7 (DE-588)4289285-5 |
| title | Introduction to Superanalysis |
| title_auth | Introduction to Superanalysis |
| title_exact_search | Introduction to Superanalysis |
| title_full | Introduction to Superanalysis by Felix Alexandrovich Berezin ; edited by A. A. Kirillov |
| title_fullStr | Introduction to Superanalysis by Felix Alexandrovich Berezin ; edited by A. A. Kirillov |
| title_full_unstemmed | Introduction to Superanalysis by Felix Alexandrovich Berezin ; edited by A. A. Kirillov |
| title_short | Introduction to Superanalysis |
| title_sort | introduction to superanalysis |
| topic | Physics Global analysis (Mathematics) Theoretical, Mathematical and Computational Physics Analysis Superalgebra (DE-588)4304028-7 gnd Supermannigfaltigkeit (DE-588)4289285-5 gnd |
| topic_facet | Physics Global analysis (Mathematics) Theoretical, Mathematical and Computational Physics Analysis Superalgebra Supermannigfaltigkeit |
| url | https://doi.org/10.1007/978-94-017-1963-6 |
| volume_link | (DE-604)BV000008625 |
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