Topics in varieties of group representations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | Undetermined |
| Published: |
Cambridge u.a.
Cambridge Univ. Press
1991
|
| Edition: | 1. publ. |
| Series: | London Mathematical Society: London Mathematical Society lecture note series
163 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIV, 200 S. |
| ISBN: | 0521424100 |
Staff View
MARC
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Record in the Search Index
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| adam_text | CONTENTS
Preface ix
Chapter 0. PRELIMINARIES 1
0.1. Representations 1
0.2. Identities and varieties 5
0.3. Certain properties of varieties 14
0.4. Changing the ground ring 19
0.5. The free group algebra 23
Chapter 1. STABLE VARIETIES AND HOMOGENEITY ... 33
1.1. Finiteness properties 34
1.2. Homogeneous varieties 40
1.3. Connections with varieties of associative algebras 48
1.4. Stable varieties of class 4 55
1.5. A stable nonhomogeneous variety 60
1.6. Stability of unipotent varieties 71
Chapter 2. LOCALLY FINITE DIMENSIONAL VARIETIES 79
2.1. Basic notions and properties 80
2.2. Characterization of locally finite and locally
finite dimensional varieties 84
2.3. The order functions 91
2.4. Critical representations 100
2.5. Critical representations and irreducibility 106
vii
viii Contents
Chapter 3. IDENTITIES OF FINITE AND STABLE BY
FINITE REPRESENTATIONS 113
3.1. Ordinary representations of finite groups 114
3.2. Several auxiliary results 118
3.3. Bounds for the orders of critical representations 126
3.4. Identities of stable by finite representations 134
3.5. Corollaries and related results 139
Chapter 4. FURTHER TOPICS 146
4.1. Multilinear identities and partial linearizations 147
4.2. Identities of representations of abelian groups
and related results 155
4.3. Multiplication of pure varieties 164
4.4. Intersection of pure varieties 174
4.5. Some applications: an overview 179
References 189
Index 197
|
| any_adam_object | 1 |
| author | Vovsi, Samuel M. |
| author_facet | Vovsi, Samuel M. |
| author_role | aut |
| author_sort | Vovsi, Samuel M. |
| author_variant | s m v sm smv |
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| classification_rvk | SI 320 SK 240 |
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| dewey-full | 512 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512 |
| dewey-search | 512 |
| dewey-sort | 3512 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV004732011 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:16:51Z |
| institution | BVB |
| isbn | 0521424100 |
| language | Undetermined |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002910580 |
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| owner_facet | DE-384 DE-12 DE-703 DE-739 DE-29T DE-355 DE-BY-UBR DE-188 DE-11 |
| physical | XIV, 200 S. |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| series | London Mathematical Society: London Mathematical Society lecture note series |
| series2 | London Mathematical Society: London Mathematical Society lecture note series |
| spelling | Vovsi, Samuel M. Verfasser aut Topics in varieties of group representations Samuel M. Vovsi 1. publ. Cambridge u.a. Cambridge Univ. Press 1991 XIV, 200 S. txt rdacontent n rdamedia nc rdacarrier London Mathematical Society: London Mathematical Society lecture note series 163 Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Darstellung Mathematik (DE-588)4128289-9 gnd rswk-swf Darstellungstheorie (DE-588)4148816-7 gnd rswk-swf Algebraische Mannigfaltigkeit (DE-588)4128509-8 gnd rswk-swf Mannigfaltigkeit (DE-588)4037379-4 gnd rswk-swf Algebraische Mannigfaltigkeit (DE-588)4128509-8 s Darstellung Mathematik (DE-588)4128289-9 s DE-604 Gruppentheorie (DE-588)4072157-7 s Darstellungstheorie (DE-588)4148816-7 s Mannigfaltigkeit (DE-588)4037379-4 s DE-188 London Mathematical Society: London Mathematical Society lecture note series 163 (DE-604)BV000000130 163 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002910580&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Vovsi, Samuel M. Topics in varieties of group representations London Mathematical Society: London Mathematical Society lecture note series Gruppentheorie (DE-588)4072157-7 gnd Darstellung Mathematik (DE-588)4128289-9 gnd Darstellungstheorie (DE-588)4148816-7 gnd Algebraische Mannigfaltigkeit (DE-588)4128509-8 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd |
| subject_GND | (DE-588)4072157-7 (DE-588)4128289-9 (DE-588)4148816-7 (DE-588)4128509-8 (DE-588)4037379-4 |
| title | Topics in varieties of group representations |
| title_auth | Topics in varieties of group representations |
| title_exact_search | Topics in varieties of group representations |
| title_full | Topics in varieties of group representations Samuel M. Vovsi |
| title_fullStr | Topics in varieties of group representations Samuel M. Vovsi |
| title_full_unstemmed | Topics in varieties of group representations Samuel M. Vovsi |
| title_short | Topics in varieties of group representations |
| title_sort | topics in varieties of group representations |
| topic | Gruppentheorie (DE-588)4072157-7 gnd Darstellung Mathematik (DE-588)4128289-9 gnd Darstellungstheorie (DE-588)4148816-7 gnd Algebraische Mannigfaltigkeit (DE-588)4128509-8 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd |
| topic_facet | Gruppentheorie Darstellung Mathematik Darstellungstheorie Algebraische Mannigfaltigkeit Mannigfaltigkeit |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002910580&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000130 |
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