An Introduction to Homological Algebra (Cambridge Studies in Advanced Mathematics, Series Number 38)

Weibel, Charles A.

ISBN 10: 0521559871 / ISBN 13: 9780521559874

Published by Cambridge University Press, 1995

About this Item

Seller Inventory # E-9780521559874-2-2

Bibliographic Details

• Title: An Introduction to Homological Algebra (Cambridge Studies in Advanced Mathematics, Series Number 38)
• Publisher: Cambridge University Press
• Publication Date: 1995
• Language: English
• ISBN 10: 0521559871
• ISBN 13: 9780521559874
• Binding: Soft cover
• Condition: Very good

About this title

Synopsis

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.

Book Description

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, including historical connections with topology, regular local rings, and semi-simple Lie algebras.