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

By Charles A. Weibel

ISBN-10: 0521435005

ISBN-13: 9780521435000

ISBN-10: 0521559871

ISBN-13: 9780521559874

The panorama of homological algebra has advanced during the last half-century right into a basic instrument for the operating mathematician. This booklet offers a unified account of homological algebra because it exists this day. The old reference to topology, ordinary neighborhood jewelry, and semi-simple Lie algebras also are defined. This e-book is appropriate for moment or 3rd 12 months graduate scholars. the 1st 1/2 the e-book takes as its topic the canonical issues in homological algebra: derived functors, Tor and Ext, projective dimensions and spectral sequences. Homology of crew and Lie algebras illustrate those issues. Intermingled are much less canonical subject matters, corresponding to the derived inverse restrict functor lim1, neighborhood cohomology, Galois cohomology, and affine Lie algebras. The final a part of the booklet covers much less conventional issues which are an essential component of the trendy homological toolkit: simplicial tools, Hochschild and cyclic homology, derived different types and overall derived functors. through making those instruments extra obtainable, the booklet is helping to collapse the technological barrier among specialists and informal clients of homological algebra.

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An Introduction to Homological Algebra (Cambridge Studies in Advanced Mathematics) by Charles A. Weibel

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