An Introduction to Homological Algebra / Edition 1

An Introduction to Homological Algebra / Edition 1

by Charles A. Weibel, Weibel Charles a.
     
 

ISBN-10: 0521559871

ISBN-13: 9780521559874

Pub. Date: 10/28/1995

Publisher: Cambridge University Press

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

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Overview

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.

Product Details

ISBN-13:
9780521559874
Publisher:
Cambridge University Press
Publication date:
10/28/1995
Series:
Cambridge Studies in Advanced Mathematics Series, #38
Edition description:
New Edition
Pages:
464
Sales rank:
1,105,162
Product dimensions:
5.98(w) x 8.98(h) x 1.02(d)

Related Subjects

Table of Contents

1. Chain complexes; 2. Derived functors; 3. Tor and Ext; 4. Homological dimensions; 5. Spectral sequences; 6. Group homology and cohomology; 7. Lie algebra homology and cohomology; 8. Simplicial methods in homological algebra; 9. Hothschild and cyclic homology; 10. The derived category; Appendix: category theory language.

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