An introduction to homological algebra /:
The landscape of homological algebra has evolved over the last half-century into a fundamental tool for the working mathematician. This book provides a unified account of homological algebra as it exists today. The historical connection with topology, regular local rings, and semi-simple Lie algebra...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [England] ; New York :
Cambridge University Press,
1994.
|
| Schriftenreihe: | Cambridge studies in advanced mathematics ;
38. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | The landscape of homological algebra has evolved over the last half-century into a fundamental tool for the working mathematician. This book provides a unified account of homological algebra as it exists today. The historical connection with topology, regular local rings, and semi-simple Lie algebras are also described. This book is suitable for second or third year graduate students. The first half of the book takes as its subject the canonical topics in homological algebra: derived functors, Tor and Ext, projective dimensions and spectral sequences. Homology of group and Lie algebras illustrate these topics. Intermingled are less canonical topics, such as the derived inverse limit functor lim1, local cohomology, Galois cohomology, and affine Lie algebras. The last part of the book covers less traditional topics that are a vital part of the modern homological toolkit: simplicial methods, Hochschild and cyclic homology, derived categories and total derived functors. By making these tools more accessible, the book helps to break down the technological barrier between experts and casual users of homological algebra. |
| Beschreibung: | 1 online resource (xiv, 450 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 432-434) and index. |
| ISBN: | 9781139648639 1139648632 9781139644136 1139644130 9781139635844 1139635840 1299706339 9781299706330 9781139641012 1139641018 9781139638173 1139638173 1316087077 9781316087077 |
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| 245 | 1 | 3 | |a An introduction to homological algebra / |c Charles A. Weibel. |
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| author | Weibel, Charles A., 1950- |
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| contents | Chain complexes -- Derived functors -- Tor and Ext -- Homological dimension -- Spectral sequences -- Group homology and cohomology -- Lie algebra homology and cohomology. |
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| record_format | marc |
| series | Cambridge studies in advanced mathematics ; |
| series2 | Cambridge studies in advanced mathematics ; |
| spelling | Weibel, Charles A., 1950- https://id.oclc.org/worldcat/entity/E39PBJw4xtPWcwHKcyg8YrDKBP http://id.loc.gov/authorities/names/n94068878 An introduction to homological algebra / Charles A. Weibel. Cambridge [England] ; New York : Cambridge University Press, 1994. 1 online resource (xiv, 450 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Cambridge studies in advanced mathematics ; 38 Includes bibliographical references (pages 432-434) and index. Chain complexes -- Derived functors -- Tor and Ext -- Homological dimension -- Spectral sequences -- Group homology and cohomology -- Lie algebra homology and cohomology. Print version record. The landscape of homological algebra has evolved over the last half-century into a fundamental tool for the working mathematician. This book provides a unified account of homological algebra as it exists today. The historical connection with topology, regular local rings, and semi-simple Lie algebras are also described. This book is suitable for second or third year graduate students. The first half of the book takes as its subject the canonical topics in homological algebra: derived functors, Tor and Ext, projective dimensions and spectral sequences. Homology of group and Lie algebras illustrate these topics. Intermingled are less canonical topics, such as the derived inverse limit functor lim1, local cohomology, Galois cohomology, and affine Lie algebras. The last part of the book covers less traditional topics that are a vital part of the modern homological toolkit: simplicial methods, Hochschild and cyclic homology, derived categories and total derived functors. By making these tools more accessible, the book helps to break down the technological barrier between experts and casual users of homological algebra. English. Algebra, Homological. http://id.loc.gov/authorities/subjects/sh85003432 Algèbre homologique. MATHEMATICS Algebra Linear. bisacsh Algebra, Homological fast Homologische algebra. gtt Algèbre homologique. ram Homologisk algebra. tekord Electronic book. Print version: Weibel, Charles A., 1950- Introduction to homological algebra. Cambridge [England] ; New York : Cambridge University Press, 1994 0521435005 (DLC) 93015649 (OCoLC)27935084 Cambridge studies in advanced mathematics ; 38. http://id.loc.gov/authorities/names/n84708314 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=511003 Volltext |
| spellingShingle | Weibel, Charles A., 1950- An introduction to homological algebra / Cambridge studies in advanced mathematics ; Chain complexes -- Derived functors -- Tor and Ext -- Homological dimension -- Spectral sequences -- Group homology and cohomology -- Lie algebra homology and cohomology. Algebra, Homological. http://id.loc.gov/authorities/subjects/sh85003432 Algèbre homologique. MATHEMATICS Algebra Linear. bisacsh Algebra, Homological fast Homologische algebra. gtt Algèbre homologique. ram Homologisk algebra. tekord |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85003432 |
| title | An introduction to homological algebra / |
| title_auth | An introduction to homological algebra / |
| title_exact_search | An introduction to homological algebra / |
| title_full | An introduction to homological algebra / Charles A. Weibel. |
| title_fullStr | An introduction to homological algebra / Charles A. Weibel. |
| title_full_unstemmed | An introduction to homological algebra / Charles A. Weibel. |
| title_short | An introduction to homological algebra / |
| title_sort | introduction to homological algebra |
| topic | Algebra, Homological. http://id.loc.gov/authorities/subjects/sh85003432 Algèbre homologique. MATHEMATICS Algebra Linear. bisacsh Algebra, Homological fast Homologische algebra. gtt Algèbre homologique. ram Homologisk algebra. tekord |
| topic_facet | Algebra, Homological. Algèbre homologique. MATHEMATICS Algebra Linear. Algebra, Homological Homologische algebra. Homologisk algebra. Electronic book. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=511003 |
| work_keys_str_mv | AT weibelcharlesa anintroductiontohomologicalalgebra AT weibelcharlesa introductiontohomologicalalgebra |