An Introduction to Homological Algebra

Nonfiction, Science & Nature, Mathematics, Algebra
Cover of the book An Introduction to Homological Algebra by Charles A. Weibel, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Charles A. Weibel ISBN: 9781139635844
Publisher: Cambridge University Press Publication: October 27, 1995
Imprint: Cambridge University Press Language: English
Author: Charles A. Weibel
ISBN: 9781139635844
Publisher: Cambridge University Press
Publication: October 27, 1995
Imprint: Cambridge University Press
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Cambridge University Press

Cover of the book The Cambridge Companion to Aristotle's Politics by Charles A. Weibel
Cover of the book Parametric Variation by Charles A. Weibel
Cover of the book Xenotransplantation and Risk by Charles A. Weibel
Cover of the book Freud, Psychoanalysis and Death by Charles A. Weibel
Cover of the book The Stalinist Era by Charles A. Weibel
Cover of the book Problem Fathers in Shakespeare and Renaissance Drama by Charles A. Weibel
Cover of the book Acting on Principle by Charles A. Weibel
Cover of the book Congress in Black and White by Charles A. Weibel
Cover of the book Tactus, Mensuration and Rhythm in Renaissance Music by Charles A. Weibel
Cover of the book Research Methods in Linguistics by Charles A. Weibel
Cover of the book Managing Employee Performance and Reward by Charles A. Weibel
Cover of the book Globalization and Sovereignty by Charles A. Weibel
Cover of the book Sixties Ireland by Charles A. Weibel
Cover of the book Diplomatic Counterinsurgency by Charles A. Weibel
Cover of the book Making Global Trade Governance Work for Development by Charles A. Weibel
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy