Tensor spaces and exterior algebra:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Math. Soc.
1992
|
| Schriftenreihe: | Translations of mathematical monographs
108 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Aus dem Japan. übers. |
| Beschreibung: | X, 131 S. |
| ISBN: | 0821845640 |
Internformat
MARC
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| 245 | 1 | 0 | |a Tensor spaces and exterior algebra |c Takeo Yokonuma |
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents
Preface to the English Edition vii
Preface ix
Chapter I. Definition of Tensor Products 1
§1. Preliminaries 1
§2. Definition of bilinear mappings 2
§3. Linearization of bilinear mappings 4
§4. Definition of tensor products 7
§5. Properties of tensor products 8
§6. Multilinear mappings and tensor products of more than two
vector spaces 11
§7. Tensor products of linear mappings 14
§8. Examples of tensor product spaces 18
§9. Construction of tensor products with generators and relations 24
§10. Tensor products of i? modules 26
Exercises 30
Chapter II. Tensors and Tensor Algebras 33
§1. Definition and examples of tensors 33
§2. Properties of tensor spaces 36
§3. Symmetric tensors and alternating tensors 43
§4. Tensor algebras and their properties 54
§5. Symmetric algebras and their properties 62
§6. Definition of relative tensors (pseudotensor, tensor density) 68
Exercises 73
Chapter III. Exterior Algebra and its Applications 77
§1. Definition of exterior algebra and its properties 77
§2. Applications to determinants 83
§3. Inner (interior) products of exterior algebras 88
§4. Applications to geometry 91
Exercises 97
V
vi CONTENTS
Chapter IV. Algebraic Systems with Bilinear Multiplication. Lie
Algebras 101
§1. Algebraic systems with bilinear multiplication 101
§2. Replicas of matrices 105
§3. Properties of Lie algebras 114
Exercises 125
References for the English Edition 127
Subject Index 129
|
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| id | DE-604.BV007180142 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:57:07Z |
| institution | BVB |
| isbn | 0821845640 |
| language | English |
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| physical | X, 131 S. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | Translations of mathematical monographs |
| series2 | Translations of mathematical monographs |
| spelling | Yokonuma, Takeo Verfasser aut Tensoru-kuukan-to-gaisekidaisuu Tensor spaces and exterior algebra Takeo Yokonuma Providence, RI American Math. Soc. 1992 X, 131 S. txt rdacontent n rdamedia nc rdacarrier Translations of mathematical monographs 108 Aus dem Japan. übers. Multilineare Algebra (DE-588)4416303-4 gnd rswk-swf Tensorprodukt (DE-588)4059478-6 gnd rswk-swf Multilineare Algebra (DE-588)4416303-4 s DE-604 Tensorprodukt (DE-588)4059478-6 s DE-188 Translations of mathematical monographs 108 (DE-604)BV000002394 108 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004589691&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Yokonuma, Takeo Tensor spaces and exterior algebra Translations of mathematical monographs Multilineare Algebra (DE-588)4416303-4 gnd Tensorprodukt (DE-588)4059478-6 gnd |
| subject_GND | (DE-588)4416303-4 (DE-588)4059478-6 |
| title | Tensor spaces and exterior algebra |
| title_alt | Tensoru-kuukan-to-gaisekidaisuu |
| title_auth | Tensor spaces and exterior algebra |
| title_exact_search | Tensor spaces and exterior algebra |
| title_full | Tensor spaces and exterior algebra Takeo Yokonuma |
| title_fullStr | Tensor spaces and exterior algebra Takeo Yokonuma |
| title_full_unstemmed | Tensor spaces and exterior algebra Takeo Yokonuma |
| title_short | Tensor spaces and exterior algebra |
| title_sort | tensor spaces and exterior algebra |
| topic | Multilineare Algebra (DE-588)4416303-4 gnd Tensorprodukt (DE-588)4059478-6 gnd |
| topic_facet | Multilineare Algebra Tensorprodukt |
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