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An introduction to homological algebra
The landscape of homological algebra has evolved over the past 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...
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| Auteur principal : | |
|---|---|
| Format : | Livre |
| Langue : | anglais |
| Titre complet : | An introduction to homological algebra / Charles A. Weibel |
| Publié : |
Cambridge, New York (N. Y.), Melbourne :
Cambridge University Press
, 1994 |
| Description matérielle : | 1 vol. (XIV-450 p.) |
| Collection : | Cambridge studies in advanced mathematics ; 38 |
| Contenu : | Contient des exercices |
| Sujets : | |
| Documents associés : | Autre format:
An introduction to homological algebra |
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| 200 | 1 | |a An introduction to homological algebra |f Charles A. Weibel | |
| 210 | |a Cambridge |a New York (N. Y.) |a Melbourne |c Cambridge University Press |d 1994 | ||
| 215 | |a 1 vol. (XIV-450 p.) |c fig. |d 24 cm | ||
| 225 | 2 | |a Cambridge studies in advanced mathematics |v 38 | |
| 305 | |a 1ère édition brochée : 1995 | ||
| 305 | |a Autres tirages : 1997, 2003 | ||
| 320 | |a Bibliogr. p. 432-434. Index | ||
| 327 | 0 | |a Contient des exercices | |
| 330 | |a The landscape of homological algebra has evolved over the past 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 is also described. 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 varrier between experts and casual users of homological algebra. [source : 4ème de couverture] | ||
| 359 | 2 | |b 1. Chain complexes. |b 2. Derived functions. |b 3. Tor and ext. |b 4. Homological dimension. |b 5. Spectral sequences. |b 6. Group homology and cohomology. |b 7. Lie algebra homology and cohomology. |b 8. Simplicial methods in homological algebra. |b 9. Hochschild and cyclic homology. |b 10. The derived category. |b A. Category theory language | |
| 410 | | | |0 013610082 |t Cambridge studies in advanced mathematics |x 0950-6330 |v 38 | |
| 452 | | | |0 234492384 |t An introduction to homological algebra |f Charles A. Weibel |c Cambridge |n Cambridge University Press |d 2013 |s Cambridge studies in advanced mathematics |y 978-1-1396-3234-8 | |
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