An introduction to nonassociative algebras:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Acad. Press
1966 [erschienen] 1969
|
| Edition: | 2. print. |
| Series: | Pure and applied mathematics
22 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 166 S. |
Staff View
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Record in the Search Index
| _version_ | 1804136121826803712 |
|---|---|
| adam_text | CONTENTS
Preface . . vii
I. Introduction 1
II. Arbitrary Nonassociative Algebras 9
1. Some Basic Concepts 9
2. The Associative Multiplication Algebra SW (91) . . . 14
3. The Lie Multiplication Algebra £ (91) 19
4. Trace Forms; Bimodules 23
III. Alternative Algebras 27
1. Nilpotent Algebras 27
2. The Peirce Decomposition 32
3. The Radical; Semisimple Algebras . 37
4. Cayley Algebras 44
5. Simple Alternative Algebras 50
6. The Wedderburn Principal Theorem 58
7. Norm Forms 69
8. Derivations; Simple Lie Algebras of Type G .... 75
IV. Jordan Algebras 91
1. The Radical; Semisimple Algebras 91
2. Central Simple Jordan Algebras 100
3. Derivations; Simple Lie Algebras of Type F .... 109
4. Simple Lie Algebras of Type E6 119
V. Power Associative Algebras 128
1. The Peirce Decomposition 128
ix
x Contents
2. Finite Power Associative Division Rings 133
3. Noncommutative Jordan Algebras 136
Bibliography 148
Index 161
|
| adam_txt |
CONTENTS
Preface . . vii
I. Introduction 1
II. Arbitrary Nonassociative Algebras 9
1. Some Basic Concepts 9
2. The Associative Multiplication Algebra SW (91) . . . 14
3. The Lie Multiplication Algebra £ (91) 19
4. Trace Forms; Bimodules 23
III. Alternative Algebras 27
1. Nilpotent Algebras 27
2. The Peirce Decomposition 32
3. The Radical; Semisimple Algebras . 37
4. Cayley Algebras 44
5. Simple Alternative Algebras 50
6. The Wedderburn Principal Theorem 58
7. Norm Forms 69
8. Derivations; Simple Lie Algebras of Type G . 75
IV. Jordan Algebras 91
1. The Radical; Semisimple Algebras 91
2. Central Simple Jordan Algebras 100
3. Derivations; Simple Lie Algebras of Type F . 109
4. Simple Lie Algebras of Type E6 119
V. Power Associative Algebras 128
1. The Peirce Decomposition 128
ix
x Contents
2. Finite Power Associative Division Rings 133
3. Noncommutative Jordan Algebras 136
Bibliography 148
Index 161 |
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| author | Schafer, Richard D. |
| author_facet | Schafer, Richard D. |
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| ctrlnum | (OCoLC)476283535 (DE-599)BVBBV022147879 |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| edition | 2. print. |
| format | Book |
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| index_date | 2024-07-02T16:18:01Z |
| indexdate | 2024-07-09T20:51:22Z |
| institution | BVB |
| language | English |
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| physical | X, 166 S. |
| publishDate | 1966 |
| publishDateSearch | 1969 |
| publishDateSort | 1969 |
| publisher | Acad. Press |
| record_format | marc |
| series | Pure and applied mathematics |
| series2 | Pure and applied mathematics |
| spelling | Schafer, Richard D. Verfasser aut An introduction to nonassociative algebras Richard D. Schafer 2. print. New York [u.a.] Acad. Press 1966 [erschienen] 1969 X, 166 S. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics 22 Algebra (DE-588)4001156-2 gnd rswk-swf Nichtassoziative Algebra (DE-588)4297760-5 gnd rswk-swf Nichtassoziative Algebra (DE-588)4297760-5 s DE-604 Algebra (DE-588)4001156-2 s 1\p DE-604 Pure and applied mathematics 22 (DE-604)BV010177228 22 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015362517&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Schafer, Richard D. An introduction to nonassociative algebras Pure and applied mathematics Algebra (DE-588)4001156-2 gnd Nichtassoziative Algebra (DE-588)4297760-5 gnd |
| subject_GND | (DE-588)4001156-2 (DE-588)4297760-5 |
| title | An introduction to nonassociative algebras |
| title_auth | An introduction to nonassociative algebras |
| title_exact_search | An introduction to nonassociative algebras |
| title_exact_search_txtP | An introduction to nonassociative algebras |
| title_full | An introduction to nonassociative algebras Richard D. Schafer |
| title_fullStr | An introduction to nonassociative algebras Richard D. Schafer |
| title_full_unstemmed | An introduction to nonassociative algebras Richard D. Schafer |
| title_short | An introduction to nonassociative algebras |
| title_sort | an introduction to nonassociative algebras |
| topic | Algebra (DE-588)4001156-2 gnd Nichtassoziative Algebra (DE-588)4297760-5 gnd |
| topic_facet | Algebra Nichtassoziative Algebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015362517&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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