Download An Introduction to Homological Algebra (Cambridge Studies in by Charles A. Weibel PDF

By Charles A. Weibel

The panorama of homological algebra has advanced over the past half-century right into a basic instrument for the operating mathematician. This publication offers a unified account of homological algebra because it exists this day. The ancient reference to topology, ordinary neighborhood earrings, and semi-simple Lie algebras also are defined. This ebook is acceptable for moment or 3rd yr graduate scholars. the 1st 1/2 the ebook takes as its topic the canonical issues in homological algebra: derived functors, Tor and Ext, projective dimensions and spectral sequences. Homology of workforce and Lie algebras illustrate those issues. Intermingled are much less canonical themes, comparable to the derived inverse restrict functor lim1, neighborhood cohomology, Galois cohomology, and affine Lie algebras. The final a part of the ebook covers much less conventional themes which are an integral part of the trendy homological toolkit: simplicial tools, Hochschild and cyclic homology, derived different types and overall derived functors. via making those instruments extra available, the publication is helping to collapse the technological barrier among specialists and informal clients of homological algebra.

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