P. J. Hilton, U. Stammbach (auth.)9780387900322, 0-387-90032-2, 0387900330
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. |
Table of contents :
Front Matter….Pages I-IX
Introduction….Pages 1-9
Modules….Pages 10-39
Categories and Functors….Pages 40-83
Extensions of Modules….Pages 84-115
Derived Functors….Pages 116-165
The Künneth Formula….Pages 166-183
Cohomology of Groups….Pages 184-228
Cohomology of Lie Algebras….Pages 229-254
Exact Couples and Spectral Sequences….Pages 255-305
Satellites and Homology….Pages 306-330
Back Matter….Pages 331-340 |
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