An introduction to nonassociative algebras:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Acad. Press
1966 [erschienen] 1969
|
| Ausgabe: | 2. print. |
| Schriftenreihe: | Pure and applied mathematics
22 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 166 S. |
Internformat
MARC
| LEADER | 00000nam a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV022147879 | ||
| 003 | DE-604 | ||
| 005 | 20150210 | ||
| 007 | t | ||
| 008 | 960329s1969 |||| 00||| eng d | ||
| 035 | |a (OCoLC)476283535 | ||
| 035 | |a (DE-599)BVBBV022147879 | ||
| 040 | |a DE-604 |b ger | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-706 | ||
| 084 | |a SK 230 |0 (DE-625)143225: |2 rvk | ||
| 100 | 1 | |a Schafer, Richard D. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a An introduction to nonassociative algebras |c Richard D. Schafer |
| 250 | |a 2. print. | ||
| 264 | 1 | |a New York [u.a.] |b Acad. Press |c 1966 [erschienen] 1969 | |
| 300 | |a X, 166 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Pure and applied mathematics |v 22 | |
| 650 | 0 | 7 | |a Algebra |0 (DE-588)4001156-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Nichtassoziative Algebra |0 (DE-588)4297760-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Nichtassoziative Algebra |0 (DE-588)4297760-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Algebra |0 (DE-588)4001156-2 |D s |
| 689 | 1 | |8 1\p |5 DE-604 | |
| 830 | 0 | |a Pure and applied mathematics |v 22 |w (DE-604)BV010177228 |9 22 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u 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 |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-015362517 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Datensatz im Suchindex
| _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 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Schafer, Richard D. |
| author_facet | Schafer, Richard D. |
| author_role | aut |
| author_sort | Schafer, Richard D. |
| author_variant | r d s rd rds |
| building | Verbundindex |
| bvnumber | BV022147879 |
| classification_rvk | SK 230 |
| ctrlnum | (OCoLC)476283535 (DE-599)BVBBV022147879 |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| edition | 2. print. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01500nam a2200385zcb4500</leader><controlfield tag="001">BV022147879</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20150210 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">960329s1969 |||| 00||| eng d</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)476283535</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV022147879</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-706</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 230</subfield><subfield code="0">(DE-625)143225:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Schafer, Richard D.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">An introduction to nonassociative algebras</subfield><subfield code="c">Richard D. Schafer</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">2. print.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York [u.a.]</subfield><subfield code="b">Acad. Press</subfield><subfield code="c">1966 [erschienen] 1969</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">X, 166 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Pure and applied mathematics</subfield><subfield code="v">22</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Algebra</subfield><subfield code="0">(DE-588)4001156-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Nichtassoziative Algebra</subfield><subfield code="0">(DE-588)4297760-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Nichtassoziative Algebra</subfield><subfield code="0">(DE-588)4297760-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Algebra</subfield><subfield code="0">(DE-588)4001156-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Pure and applied mathematics</subfield><subfield code="v">22</subfield><subfield code="w">(DE-604)BV010177228</subfield><subfield code="9">22</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">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</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-015362517</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
| id | DE-604.BV022147879 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T16:18:01Z |
| indexdate | 2024-07-09T20:51:22Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015362517 |
| oclc_num | 476283535 |
| open_access_boolean | |
| owner | DE-706 |
| owner_facet | DE-706 |
| 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 |
| volume_link | (DE-604)BV010177228 |
| work_keys_str_mv | AT schaferrichardd anintroductiontononassociativealgebras |