Introduction to Homological Algebra.pdf

Introduction to Homological Algebra

Charles A. Weibel

The landscape of homological algebra has evolved over the last 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 are also described. This book is suitable for second or third year graduate students. 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. By making these tools more accessible, the book helps to break down the technological barrier between experts and casual users of homological algebra.

An Introduction to Homological Algebra discusses the origins of algebraic topology. It also presents the study of homological algebra as a two-stage affair. First ...

8.16 MB DATEIGRÖSSE
9781139632348 ISBN
Englisch SPRACHE
Introduction to Homological Algebra.pdf

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Sofia Voigt

In this chapter we introduce basic notions of homological algebra such as ... For a nice introduction to the theory of representations of quivers, see for example. PDF | Our aim in this paper is to introduce a generalization of some notions in homological algebra. We define the concepts of chain U -complex, U... | Find, read ...

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Matteo Müller

[PDF] An Introduction To Homological Algebra …

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Noel Schulze

An introduction to homological algebra Charles A. Weibel The landscape of homological algebra has evolved over the last half-century into a fundamental tool for the working mathematician.

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Jason Lehmann

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

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Jessica Kohmann

Weibel, Charles A. (1994), An introduction to homological algebra, Cambridge Studies in Advanced Mathematics, 38, Cambridge University Press, MR1269324,  ... 20 Dec 2012 ... Our text will be Weibel's An Introduction to Homological Algebra, and most of the course will follow this text. We'll cover the basic concepts of ...