Introduction to superanalysis:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English Russian |
| Published: |
Dordrecht u.a.
Reidel
1987
|
| Series: | Mathematical physics and applied mathematics
9 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | EST: Vvedenie v algebru i analiz s antikommutiruiûshchimi peremennymi <dt.>. - Aus d. Russ. übers. - Teilausg. |
| Physical Description: | XI, 424 S. |
| ISBN: | 9027716684 |
Staff View
MARC
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| 100 | 1 | |a Berezin, Feliks A. |d 1931-1980 |e Verfasser |0 (DE-588)119463415 |4 aut | |
| 245 | 1 | 0 | |a Introduction to superanalysis |c Felix Alexandrovich Berezin |
| 264 | 1 | |a Dordrecht u.a. |b Reidel |c 1987 | |
| 300 | |a XI, 424 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mathematical physics and applied mathematics |v 9 | |
| 500 | |a EST: Vvedenie v algebru i analiz s antikommutiruiûshchimi peremennymi <dt.>. - Aus d. Russ. übers. - Teilausg. | ||
| 650 | 7 | |a Algèbre Grassman |2 Jussieu | |
| 650 | 4 | |a Analyse mathématique | |
| 650 | 7 | |a Analyse mathématique |2 ram | |
| 650 | 7 | |a Bibliographie Berezin |2 Jussieu | |
| 650 | 7 | |a Spin |2 Jussieu | |
| 650 | 7 | |a Superalgèbre |2 Jussieu | |
| 650 | 7 | |a Supergravité |2 Jussieu | |
| 650 | 7 | |a Supergroupe |2 Jussieu | |
| 650 | 7 | |a Supersymétrie |2 Jussieu | |
| 650 | 4 | |a Mathematical analysis | |
| 650 | 0 | 7 | |a Supermannigfaltigkeit |0 (DE-588)4289285-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Superalgebra |0 (DE-588)4304028-7 |2 gnd |9 rswk-swf |
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| 830 | 0 | |a Mathematical physics and applied mathematics |v 9 |w (DE-604)BV000008625 |9 9 | |
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Record in the Search Index
| _version_ | 1804115138318434304 |
|---|---|
| adam_text | CONTENTS
EDITOR S FOREWORD jx
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 Z2 GRADED SPACES 90
1. Linear Operators 90
2. Operator Algebras and Groups in Spaces IKMand KM(A) 119
CHAPTER 4. SUPERMANIFOLDS IN GENERAL 131
0. Introduction 131
1. Sheaves 131
2. Ringed Spaces 136
v
Vi CONTENTS
3. Supermanifolds 143
4. Constructions of Supermanifolds 146
5. Stratification of a Supermanifold 153
6. Retraction and the First Obstruction 156
7. Higher Obstructions 163
8. Examples of Nonretractable Supermanifolds 164
9. Z + Grading and the Conditions of Simplicity of a
Supermanifold 166
CHAPTER 5. LIE SUPERALGEBRAS 170
1. General Considerations 170
2. Examples of Lie Superalgebras 180
3. Adjoint and Coadjoint Representations. Poisson Algebra
Related to a Lie Superalgebra 216
PART II
CHAPTER 1. LIE SUPERALGEBRAS 231
CHAPTER 2. LIE SUPERGROUPS 245
CHAPTER 3. LAPLACE CASIMIR OPERATORS (GEN¬
ERAL THEORY) 279
CHAPTER 4. RADIAL PARTS OF THE LAPLACE
OPERATORS ON THE LIE SUPERGROUUPS U(p,q) AND
C{m,n) 312
CHAPTER 5. CONSTRUCTION OF REPRESENTATIONS
OF LIE SUPERGROUPS U(p, q) AND C(m, n) 344
APPENDIX 1. PARTICLE SPIN DYNAMICS AS THE
GRASSMANN VARIANT OF CLASSICAL MECHANICS 374
CONTENTS Vli
APPENDIX 2. SUPERSYMMETRY AND SUPERGRAVITY
by V. I. Ogievetsky 404
SUPPLEMENT. LIST OF F. A. BEREZIN S PUBLISHED
WORKS , 414
INDEX 419
|
| any_adam_object | 1 |
| author | Berezin, Feliks A. 1931-1980 |
| author_GND | (DE-588)119463415 |
| author_facet | Berezin, Feliks A. 1931-1980 |
| author_role | aut |
| author_sort | Berezin, Feliks A. 1931-1980 |
| author_variant | f a b fa fab |
| building | Verbundindex |
| bvnumber | BV000689923 |
| callnumber-first | Q - Science |
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| callnumber-raw | QA300 |
| callnumber-search | QA300 |
| callnumber-sort | QA 3300 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 200 SK 350 |
| classification_tum | MAT 580f MAT 260f MAT 160f |
| ctrlnum | (OCoLC)16078895 (DE-599)BVBBV000689923 |
| dewey-full | 530.15/5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.15/5 |
| dewey-search | 530.15/5 |
| dewey-sort | 3530.15 15 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| format | Book |
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| genre | Superanalysis gnd |
| genre_facet | Superanalysis |
| id | DE-604.BV000689923 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:17:51Z |
| institution | BVB |
| isbn | 9027716684 |
| language | English Russian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000430310 |
| oclc_num | 16078895 |
| open_access_boolean | |
| owner | DE-12 DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-384 DE-703 DE-739 DE-355 DE-BY-UBR DE-824 DE-29T DE-19 DE-BY-UBM DE-188 |
| owner_facet | DE-12 DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-384 DE-703 DE-739 DE-355 DE-BY-UBR DE-824 DE-29T DE-19 DE-BY-UBM DE-188 |
| physical | XI, 424 S. |
| publishDate | 1987 |
| publishDateSearch | 1987 |
| publishDateSort | 1987 |
| publisher | Reidel |
| record_format | marc |
| series | Mathematical physics and applied mathematics |
| series2 | Mathematical physics and applied mathematics |
| spelling | Berezin, Feliks A. 1931-1980 Verfasser (DE-588)119463415 aut Introduction to superanalysis Felix Alexandrovich Berezin Dordrecht u.a. Reidel 1987 XI, 424 S. txt rdacontent n rdamedia nc rdacarrier Mathematical physics and applied mathematics 9 EST: Vvedenie v algebru i analiz s antikommutiruiûshchimi peremennymi <dt.>. - Aus d. Russ. übers. - Teilausg. Algèbre Grassman Jussieu Analyse mathématique Analyse mathématique ram Bibliographie Berezin Jussieu Spin Jussieu Superalgèbre Jussieu Supergravité Jussieu Supergroupe Jussieu Supersymétrie Jussieu Mathematical analysis Supermannigfaltigkeit (DE-588)4289285-5 gnd rswk-swf Superalgebra (DE-588)4304028-7 gnd rswk-swf Superanalysis gnd rswk-swf Supermannigfaltigkeit (DE-588)4289285-5 s DE-604 Superalgebra (DE-588)4304028-7 s Superanalysis f Mathematical physics and applied mathematics 9 (DE-604)BV000008625 9 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000430310&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Berezin, Feliks A. 1931-1980 Introduction to superanalysis Mathematical physics and applied mathematics Algèbre Grassman Jussieu Analyse mathématique Analyse mathématique ram Bibliographie Berezin Jussieu Spin Jussieu Superalgèbre Jussieu Supergravité Jussieu Supergroupe Jussieu Supersymétrie Jussieu Mathematical analysis Supermannigfaltigkeit (DE-588)4289285-5 gnd Superalgebra (DE-588)4304028-7 gnd |
| subject_GND | (DE-588)4289285-5 (DE-588)4304028-7 |
| title | Introduction to superanalysis |
| title_auth | Introduction to superanalysis |
| title_exact_search | Introduction to superanalysis |
| title_full | Introduction to superanalysis Felix Alexandrovich Berezin |
| title_fullStr | Introduction to superanalysis Felix Alexandrovich Berezin |
| title_full_unstemmed | Introduction to superanalysis Felix Alexandrovich Berezin |
| title_short | Introduction to superanalysis |
| title_sort | introduction to superanalysis |
| topic | Algèbre Grassman Jussieu Analyse mathématique Analyse mathématique ram Bibliographie Berezin Jussieu Spin Jussieu Superalgèbre Jussieu Supergravité Jussieu Supergroupe Jussieu Supersymétrie Jussieu Mathematical analysis Supermannigfaltigkeit (DE-588)4289285-5 gnd Superalgebra (DE-588)4304028-7 gnd |
| topic_facet | Algèbre Grassman Analyse mathématique Bibliographie Berezin Spin Superalgèbre Supergravité Supergroupe Supersymétrie Mathematical analysis Supermannigfaltigkeit Superalgebra Superanalysis |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000430310&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000008625 |
| work_keys_str_mv | AT berezinfeliksa introductiontosuperanalysis |