Introduction to Homological Algebra Weibel Charles A.
Introduction to Homological Algebra Weibel Charles A. The landscape of homological algebra has evolved over the past half-century into a fundamental tool for the working mathematician. The historical…
Specifikacia Introduction to Homological Algebra Weibel Charles A.
Introduction to Homological Algebra Weibel Charles A.
The landscape of homological algebra has evolved over the past half-century into a fundamental tool for the working mathematician. The historical connection with topology, regular local rings, and semi-simple Lie algebras is also described. This book provides a unified account of homological algebra as it exists today.
Homology of group and Lie algebras illustrate these topics. 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. 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