An introduction to homological algebra / Charles A. Weibel.

9781139648639 (electronic bk.)
1139648632 (electronic bk.)
9781139644136 (electronic bk.)
1139644130 (electronic bk.)
9781139635844
1139635840
1299706339 (ebk)
9781299706330 (ebk)
9781139641012
1139641018
9781139638173 (electronic bk.)
1139638173 (electronic bk.)
1316087077
9781316087077
0521435005
9780521435000
0521559871
9780521559874

Cambridge [England] ; New York : Cambridge University Press, 1994.

English

English.

1 online resource (xiv, 450 pages) : illustrations

QA169 .W45 1994eb

(OCoLC)847527211

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.

Includes bibliographical references (pages 432-434) and index.

Print version record.

Cambridge studies in advanced mathematics ; 38.

Print version: Weibel, Charles A., 1950- Introduction to homological algebra. Cambridge [England] ; New York : Cambridge University Press, 1994

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