Malcev admissible algebras:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boston u.a.
Birkhäuser
1986
|
| Series: | Progress in mathematics
64 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVI, 353 S. |
| ISBN: | 0817633456 |
Staff View
MARC
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| 245 | 1 | 0 | |a Malcev admissible algebras |c Hyo Chul Myung |
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Record in the Search Index
| _version_ | 1804114976928956416 |
|---|---|
| adam_text | CONTENTS
Preface vu
1. Flexible Malcev admissible algebras 1
1.1. Introduction 2
1.2. Basic results 8
1.3. Cartan decompositions of A 15
1.4. Generalized Witt algebras 30
1.5. Flexible Malcev admissible nilalgebras 36
2. Power associative Malcev admissible algebras 55
2.1. Introduction 56
2.2. Para octonion and pseudo octonion algebras 60
2.3. Power associative products on matrices 72
2.4. Power associative products on octonions 96
2.5. Power associative products on simple Lie and
Malcev algebras 109
2.6. The semisimple case 123
2.7. Power associative products defined by linear forms 131
3. Invariant operators in simple Lie algebras and
flexible Malcev admissible algebras with A simple 151
3.1. Introduction 150
3.2. Invariant operators 156
3.3. Modules for Malcev algebras 174
3.4. Adjoint operators in simple Lie algebras 183
3.5. Flexible Malcev admissible algebras with A simple 192
xvi
4, Malcev admissible algebras with the solvable
radical of a nonzero 205
4.1. Derivation decompositions 206
4.2. The case R is a direct summand of A 211
4.3. Multiplication relations between irreducible summands 227
4.4. Flexible Malcev admissible algebras with abelian
radical 239
4.5. Quasi classical Malcev algebras 254
4.6. Wedderburn type theory 272
5, Malcev admissible algebras of low dimension 279
5.1. Basic results 280
5.2. Dimension 5 290
5.3. Dimension 6 295
5.4. Dimension 7 302
5.5. Dimension 8 313
5.6. Dimension 15 ; il(3) £ Der A 317
5.7. Dimension 15 ; G2 £ Der A 332
Bibliography 339
Index of symbols 349
Index of terminology 351
|
| any_adam_object | 1 |
| author | Myung, Hyo C. |
| author_facet | Myung, Hyo C. |
| author_role | aut |
| author_sort | Myung, Hyo C. |
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| bvnumber | BV000529641 |
| callnumber-first | Q - Science |
| callnumber-label | QA252 |
| callnumber-raw | QA252.3 |
| callnumber-search | QA252.3 |
| callnumber-sort | QA 3252.3 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 340 |
| ctrlnum | (OCoLC)13642980 (DE-599)BVBBV000529641 |
| dewey-full | 512/.55 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.55 |
| dewey-search | 512/.55 |
| dewey-sort | 3512 255 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV000529641 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:15:17Z |
| institution | BVB |
| isbn | 0817633456 |
| language | English |
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| owner | DE-12 DE-634 DE-11 DE-188 |
| owner_facet | DE-12 DE-634 DE-11 DE-188 |
| physical | XVI, 353 S. |
| publishDate | 1986 |
| publishDateSearch | 1986 |
| publishDateSort | 1986 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Progress in mathematics |
| series2 | Progress in mathematics |
| spelling | Myung, Hyo C. Verfasser aut Malcev admissible algebras Hyo Chul Myung Boston u.a. Birkhäuser 1986 XVI, 353 S. txt rdacontent n rdamedia nc rdacarrier Progress in mathematics 64 Malcev-zulässige Algebra (DE-588)4128948-1 gnd rswk-swf Lie-Algebra (DE-588)4130355-6 gnd rswk-swf Malcev-Mannigfaltigkeit (DE-588)4168700-0 gnd rswk-swf Lie-Algebra (DE-588)4130355-6 s Malcev-zulässige Algebra (DE-588)4128948-1 s 1\p DE-604 Malcev-Mannigfaltigkeit (DE-588)4168700-0 s 2\p DE-604 Progress in mathematics 64 (DE-604)BV000004120 64 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000326700&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 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Myung, Hyo C. Malcev admissible algebras Progress in mathematics Malcev-zulässige Algebra (DE-588)4128948-1 gnd Lie-Algebra (DE-588)4130355-6 gnd Malcev-Mannigfaltigkeit (DE-588)4168700-0 gnd |
| subject_GND | (DE-588)4128948-1 (DE-588)4130355-6 (DE-588)4168700-0 |
| title | Malcev admissible algebras |
| title_auth | Malcev admissible algebras |
| title_exact_search | Malcev admissible algebras |
| title_full | Malcev admissible algebras Hyo Chul Myung |
| title_fullStr | Malcev admissible algebras Hyo Chul Myung |
| title_full_unstemmed | Malcev admissible algebras Hyo Chul Myung |
| title_short | Malcev admissible algebras |
| title_sort | malcev admissible algebras |
| topic | Malcev-zulässige Algebra (DE-588)4128948-1 gnd Lie-Algebra (DE-588)4130355-6 gnd Malcev-Mannigfaltigkeit (DE-588)4168700-0 gnd |
| topic_facet | Malcev-zulässige Algebra Lie-Algebra Malcev-Mannigfaltigkeit |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000326700&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000004120 |
| work_keys_str_mv | AT myunghyoc malcevadmissiblealgebras |