New examples of Frobenius extensions:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, Rhode Island
American Mathematical Society
[1999]
|
| Schriftenreihe: | University lecture series
Volume 14 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | x, 84 Seiten |
| ISBN: | 0821819623 9780821819623 |
Internformat
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| 245 | 1 | 0 | |a New examples of Frobenius extensions |c Lars Kadison |
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| 264 | 4 | |c © 1999 | |
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Datensatz im Suchindex
| _version_ | 1804127716155326464 |
|---|---|
| adam_text | Contents
Preface jx
Chapter 1. Introduction to Frobenius Extensions 1
1.1. Preliminaries 1
1.2. Ring Extensions 2
1.3. Frobenius Extensions 3
Chapter 2. The Endomorphism Ring Theorem 9
2.1. Some more preliminaries 9
2.2. Frobenius Bimodules 9
2.3. The Endomorphism Ring Theorem 11
2.4. Separability 13
2.5. A Duality 15
2.6. H Separability 17
Chapter 3. The Jones Polynomial 21
3.1. Markov Extensions 21
3.2. The Tower of Markov Extensions 24
3.3. The Braid like Relations 24
3.4. Representing the Braid Groups 25
3.5. The Jones Link Polynomial 27
Chapter 4. Frobenius Algebras 33
4.1. Preliminaries on Frobenius Extensions 33
4.2. Frobenius Algebras and YBE Solutions 35
4.3. Classical Frobenius Algebras and QF Rings 38
4.4. 2 Dimensional TQFT s 40
Chapter 5. Azumaya Algebras 43
5.1. The Reduced Trace 43
5.2. Separable Algebras over a Commutative Ring 44
5.3. Strongly Separable Algebras 48
5.4. Invertible Solutions of YBE 51
Chapter 6. Hopf Algebras over Commutative Rings 53
6.1. Augmented Frobenius Algebras 53
6.2. Antipodes and Integrals of Finite Projective Hopf Algebras 55
6.3. The Quantum Double 60
Chapter 7. Hopf Subalgebras 63
7.1. Frobenius Extensions of the Second Kind 63
vii
viii CONTENTS
7.2. A Freeness Theorem 67
7.3. Main Theorem 68
7.4. Two Examples 71
Appendix A. Historical Notes 75
Bibliography 79
Index 83
|
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:37:46Z |
| institution | BVB |
| isbn | 0821819623 9780821819623 |
| language | English |
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| spelling | Kadison, Lars Verfasser (DE-588)1151146188 aut New examples of Frobenius extensions Lars Kadison Providence, Rhode Island American Mathematical Society [1999] © 1999 x, 84 Seiten txt rdacontent n rdamedia nc rdacarrier University lecture series Volume 14 Algèbres séparables Frobenius, Algèbres de Frobenius, Algèbres de ram Hopf, Algèbres de Frobenius algebras Hopf algebras Separable algebras Hopf-Algebra (DE-588)4160646-2 gnd rswk-swf Frobenius-Algebra (DE-588)4155476-0 gnd rswk-swf Separable Algebra (DE-588)4181009-0 gnd rswk-swf Hopf-Algebra (DE-588)4160646-2 s DE-604 Frobenius-Algebra (DE-588)4155476-0 s Separable Algebra (DE-588)4181009-0 s Erscheint auch als Online-Ausgabe 978-1-4704-2163-2 University lecture series Volume 14 (DE-604)BV004153846 14 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008870081&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kadison, Lars New examples of Frobenius extensions University lecture series Algèbres séparables Frobenius, Algèbres de Frobenius, Algèbres de ram Hopf, Algèbres de Frobenius algebras Hopf algebras Separable algebras Hopf-Algebra (DE-588)4160646-2 gnd Frobenius-Algebra (DE-588)4155476-0 gnd Separable Algebra (DE-588)4181009-0 gnd |
| subject_GND | (DE-588)4160646-2 (DE-588)4155476-0 (DE-588)4181009-0 |
| title | New examples of Frobenius extensions |
| title_auth | New examples of Frobenius extensions |
| title_exact_search | New examples of Frobenius extensions |
| title_full | New examples of Frobenius extensions Lars Kadison |
| title_fullStr | New examples of Frobenius extensions Lars Kadison |
| title_full_unstemmed | New examples of Frobenius extensions Lars Kadison |
| title_short | New examples of Frobenius extensions |
| title_sort | new examples of frobenius extensions |
| topic | Algèbres séparables Frobenius, Algèbres de Frobenius, Algèbres de ram Hopf, Algèbres de Frobenius algebras Hopf algebras Separable algebras Hopf-Algebra (DE-588)4160646-2 gnd Frobenius-Algebra (DE-588)4155476-0 gnd Separable Algebra (DE-588)4181009-0 gnd |
| topic_facet | Algèbres séparables Frobenius, Algèbres de Hopf, Algèbres de Frobenius algebras Hopf algebras Separable algebras Hopf-Algebra Frobenius-Algebra Separable Algebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008870081&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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