Nicht aus der Schweiz? Besuchen Sie lehmanns.de
An Introduction to Homological Algebra - Charles A. Weibel

An Introduction to Homological Algebra

Buch | Softcover
468 Seiten
1995
Cambridge University Press (Verlag)
978-0-521-55987-4 (ISBN)
CHF 99,95 inkl. MwSt
This book paints a portrait of the subject of homological algebra as it exists today. Aimed at second or third year graduate students of mathematics, it covers several subjects which have arisen in recent years, in addition to the classical list of topics covered in other books.
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.

1. Chain complexes; 2. Derived functors; 3. Tor and Ext; 4. Homological dimensions; 5. Spectral sequences; 6. Group homology and cohomology; 7. Lie algebra homology and cohomology; 8. Simplicial methods in homological algebra; 9. Hothschild and cyclic homology; 10. The derived category; Appendix: category theory language.

Erscheint lt. Verlag 27.10.1995
Reihe/Serie Cambridge Studies in Advanced Mathematics
Zusatzinfo Worked examples or Exercises
Verlagsort Cambridge
Sprache englisch
Maße 155 x 232 mm
Gewicht 700 g
Themenwelt Mathematik / Informatik Mathematik Algebra
ISBN-10 0-521-55987-1 / 0521559871
ISBN-13 978-0-521-55987-4 / 9780521559874
Zustand Neuware
Haben Sie eine Frage zum Produkt?
Mehr entdecken
aus dem Bereich