A Course in Homological Algebra
By: by Peter J. Hilton, Urs Stammbach
Contributors: Stammbach, Urs
Edition: Second Edition.
Series: Graduate Texts in Mathematics -- 4; Graduate texts in mathematics -- 4.
Publisher: Springer New York
Published: 1997
Place of publication: New York, NY
Language: eng
Format: [electronic resource] /
Number of pages: 366
ISBN-13: 9781461264385; 9781441985668
Subjects: Mathematics; K-theory
Description: This classic book provides a broad introduction to homological algebra, including a comprehensive set of exercises. Since publication of the first edition homological algebra has found a large number of applications in many different fields. Today, it is a truly indispensable tool in fields ranging from finite and infinite group theory to representation theory, number theory, algebraic topology and sheaf theory. In this new edition, the authors have selected a number of different topics and describe some of the main applications and results to illustrate the range and depths of these developments. The background assumes little more than knowledge of the algebraic theories groups and of vector spaces over a field.
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Table of contents: title: Contents: Modules; title: Categories and Functors; title: Extensions of Modules; title: Derived Functors; title: The Künneth Formula; title: Cohomology of Groups; title: Cohomology of Lie Algebras; title: Exact Couples and Spectral Sequences; title: Satellites and Homology; title: Some Applications and Recent Developments.