An algebraic approach to association schemes:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1996
|
| Schriftenreihe: | Lecture notes in mathematics
1628 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 189 S. |
| ISBN: | 3540614001 |
Internformat
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| 100 | 1 | |a Zieschang, Paul-Hermann |d 1953- |e Verfasser |0 (DE-588)110215109 |4 aut | |
| 245 | 1 | 0 | |a An algebraic approach to association schemes |c Paul-Hermann Zieschang |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1996 | |
| 300 | |a XII, 189 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 1628 | |
| 650 | 7 | |a Analise combinatoria |2 larpcal | |
| 650 | 7 | |a Combinatieleer |2 gtt | |
| 650 | 7 | |a Configuracoes combinatorias |2 larpcal | |
| 650 | 7 | |a Eindige meetkunde |2 gtt | |
| 650 | 4 | |a Géométries finies | |
| 650 | 7 | |a Géométries finies |2 ram | |
| 650 | 4 | |a Immeubles (Théorie des groupes) | |
| 650 | 4 | |a Schémas d'association (Analyse combinatoire) | |
| 650 | 7 | |a Schémas d'association (analyse combinatoire) |2 ram | |
| 650 | 4 | |a Association schemes (Combinatorial analysis) | |
| 650 | 4 | |a Buildings (Group theory) | |
| 650 | 4 | |a Finite geometries | |
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Datensatz im Suchindex
| _version_ | 1805082792336293888 |
|---|---|
| adam_text |
Table of Contents
1. Basic Results 1
1.1 Structure Constants 1
1.2 The Complex Product 3
1.3 Closed Subsets 10
1.4 Generating Subsets 15
1.5 Subschemes and Factor Schemes 19
1.6 Computing in Factor Schemes 22
1.7 Morphisms 26
2. Decomposition Theory 33
2.1 Normal Closed Subsets 33
2.2 Strongly Normal Closed Subsets 36
2.3 Thin Residues and Thin Radicals 39
2.4 Residually Thin Schemes 44
2.5 Direct Products of Closed Subsets 48
2.6 Quasi direct Products 54
2.7 Semidirect Products 60
3. Algebraic Prerequisites 65
3.1 Tits' Theorem on Free Monoids 65
3.2 Integers over Subrings 72
3.3 Modules over Associative Algebras 77
3.4 Associative Algebras 80
3.5 Characters of Associative Algebras 85
3.6 Tensor Products 87
4. Representation Theory 97
4.1 Adjacency Algebras 97
4.2 Algebraically Closed Base Fields 106
4.3 The Complex Adjacency Algebra 109
4.4 Representations and Closed Subsets 113
4.5 The Case |G| 5 118
XII Table of Contents
5. Theory of Generators 123
5.1 Constrained Schemes 123
5.2 Pairs of Involutions 134
5.3 Finite Coxeter Schemes of Rank 2 138
5.4 The Theorems of Ott and Payne 150
5.5 Length and Norm 155
5.6 Partitions of G 158
5.7 Cosets on Which the Length is Constant 163
5.8 A Characterization Theorem 167
Appendix 177
Index 185
References 187 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV010862816 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-20T07:38:17Z |
| institution | BVB |
| isbn | 3540614001 |
| language | English |
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| oclc_num | 845204955 |
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| physical | XII, 189 S. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Zieschang, Paul-Hermann 1953- Verfasser (DE-588)110215109 aut An algebraic approach to association schemes Paul-Hermann Zieschang Berlin [u.a.] Springer 1996 XII, 189 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1628 Analise combinatoria larpcal Combinatieleer gtt Configuracoes combinatorias larpcal Eindige meetkunde gtt Géométries finies Géométries finies ram Immeubles (Théorie des groupes) Schémas d'association (Analyse combinatoire) Schémas d'association (analyse combinatoire) ram Association schemes (Combinatorial analysis) Buildings (Group theory) Finite geometries Endliche Geometrie (DE-588)4014650-9 gnd rswk-swf Assoziationsschema (DE-588)4425081-2 gnd rswk-swf Endliche Geometrie (DE-588)4014650-9 s DE-604 Assoziationsschema (DE-588)4425081-2 s Lecture notes in mathematics 1628 (DE-604)BV000676446 1628 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007260971&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Zieschang, Paul-Hermann 1953- An algebraic approach to association schemes Lecture notes in mathematics Analise combinatoria larpcal Combinatieleer gtt Configuracoes combinatorias larpcal Eindige meetkunde gtt Géométries finies Géométries finies ram Immeubles (Théorie des groupes) Schémas d'association (Analyse combinatoire) Schémas d'association (analyse combinatoire) ram Association schemes (Combinatorial analysis) Buildings (Group theory) Finite geometries Endliche Geometrie (DE-588)4014650-9 gnd Assoziationsschema (DE-588)4425081-2 gnd |
| subject_GND | (DE-588)4014650-9 (DE-588)4425081-2 |
| title | An algebraic approach to association schemes |
| title_auth | An algebraic approach to association schemes |
| title_exact_search | An algebraic approach to association schemes |
| title_full | An algebraic approach to association schemes Paul-Hermann Zieschang |
| title_fullStr | An algebraic approach to association schemes Paul-Hermann Zieschang |
| title_full_unstemmed | An algebraic approach to association schemes Paul-Hermann Zieschang |
| title_short | An algebraic approach to association schemes |
| title_sort | an algebraic approach to association schemes |
| topic | Analise combinatoria larpcal Combinatieleer gtt Configuracoes combinatorias larpcal Eindige meetkunde gtt Géométries finies Géométries finies ram Immeubles (Théorie des groupes) Schémas d'association (Analyse combinatoire) Schémas d'association (analyse combinatoire) ram Association schemes (Combinatorial analysis) Buildings (Group theory) Finite geometries Endliche Geometrie (DE-588)4014650-9 gnd Assoziationsschema (DE-588)4425081-2 gnd |
| topic_facet | Analise combinatoria Combinatieleer Configuracoes combinatorias Eindige meetkunde Géométries finies Immeubles (Théorie des groupes) Schémas d'association (Analyse combinatoire) Schémas d'association (analyse combinatoire) Association schemes (Combinatorial analysis) Buildings (Group theory) Finite geometries Endliche Geometrie Assoziationsschema |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007260971&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT zieschangpaulhermann analgebraicapproachtoassociationschemes |