Cyclic homology of algebras:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Singapore u.a.
World Scientif.
1987
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 160 S. |
| ISBN: | 9971504685 9971504707 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804116664938135552 |
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| adam_text | vij
TABLE OF CONTENTS
Introduction. jx
Chapter I. CYCLIC (CO)HOMOLOGY AND HOCHSCHILD
(CO)HOMOLOGY. 1
1.1 Preliminaries: Spectral Sequences. 1
1.1.1 Filtered Complexes and Exact Couples. 1
1.1.2 The Spectral Sequence associated with an Exact Couple. 3
1.1.3 Convergence of a Spectral Sequence. 7
1.1.4 Double Complexes and their Spectral Sequences. 12
1.2 Cyclic (Co)homology and Hochschild (Co)homology. 17
1.2.1 The Double Complex C(A). 17
1.2.2 The Cyclic Homology of an Associative Algebra. 20
1.2.3 Generalities about Mixed Complexes. 23
1.2.4 Cyclic Homology and Hochschild Homology. 32
1.2.5 Nonunital and Reduced Cyclic Homology. 41
1.2.6 Cyclic Cohomology. 58
1.2.7 Morita Invariance of Hochschild Homology and
of Cyclic Homology. 72
Comments on Chapter I. 84
References to Chapter I. 85
Chapter II. PARTICULARITIES IN CHARACTERISTIC ZERO. 86
11.1 Relation to de Rham Theory. 86
11.1.1 A First Approach: Noncommutative de Rham Complexes. 86
11.1.2 Cyclic Homology and de Rham Cohomology of
Commutative Algebras. 104
viii
11.2 Relation to Lie Theory. 121
11.2.1 Preliminaries around Invariant Theory. 121
11.2.2 Cyclic Homology and the Lie Algebra
Homology of Matrices. 133
Comments on Chapter II. 156
References to Chapter II. 157
Further references. 158
List of symbols and notations. 159
Index. 160
|
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| id | DE-604.BV002210293 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:42:07Z |
| institution | BVB |
| isbn | 9971504685 9971504707 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001451932 |
| oclc_num | 17868637 |
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| physical | XI, 160 S. |
| publishDate | 1987 |
| publishDateSearch | 1987 |
| publishDateSort | 1987 |
| publisher | World Scientif. |
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| spelling | Seibt, Peter Verfasser aut Cyclic homology of algebras Peter Seibt Singapore u.a. World Scientif. 1987 XI, 160 S. txt rdacontent n rdamedia nc rdacarrier Algebra, Homological Zyklische Homologie (DE-588)4269326-3 gnd rswk-swf Zyklische Homologie (DE-588)4269326-3 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001451932&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Seibt, Peter Cyclic homology of algebras Algebra, Homological Zyklische Homologie (DE-588)4269326-3 gnd |
| subject_GND | (DE-588)4269326-3 |
| title | Cyclic homology of algebras |
| title_auth | Cyclic homology of algebras |
| title_exact_search | Cyclic homology of algebras |
| title_full | Cyclic homology of algebras Peter Seibt |
| title_fullStr | Cyclic homology of algebras Peter Seibt |
| title_full_unstemmed | Cyclic homology of algebras Peter Seibt |
| title_short | Cyclic homology of algebras |
| title_sort | cyclic homology of algebras |
| topic | Algebra, Homological Zyklische Homologie (DE-588)4269326-3 gnd |
| topic_facet | Algebra, Homological Zyklische Homologie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001451932&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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