Algebra - 5: Homological Algebra

DieserThis volume of the Encyclopaedia presents a modern approach to homological algebra, which is based on the systematic use of the terminology and ideas of derived categories and derived functors. The book contains applications of homological algebra to the theory of sheaves on topological spaces, to Hodge theory, and to the theory of modules over rings of algebraic differential operators (algebraic D-modules). The authors Gel'fand and Manin explain all the main ideas of the theory of derived categories. Both authors are well-known researchers and the second, Manin, is famous for his work in algebraic geometry and mathematical physics. The book is an excellent reference for graduate students and researchers in mathematics and also for physicists who use methods from algebraic geomtry and algebraic topology.

Table des matières

1. Complexes and Cohomology.- 2. The Language of Categories.- 3. Homology Groups in Algebra and in Geometry.- 4. Derived Categories and Derived Functors.- 5. Triangulated Categories.- 6. Mixed Hodge Structures.- 7. Perverse Sheaves.- 8. D-Modules.- References.- Author Index.

Détails du produit

• Auteurs: S Gelfand, S I Gelfand, S. I. Gelfand, S.I. Gelfand, Sergei I. Gelfand, Yu I Manin, Yu. I. Manin, Yu.I. Manin, Yuri I. Manin
• Collaboration: I Kostrikin (Editeur), A I Kostrikin (Editeur), A. I. Kostrikin (Editeur), A.I. Kostrikin (Editeur), R Shafarevich (Editeur), R Shafarevich (Editeur), I. R. Shafarevich (Editeur), I.R. Shafarevich (Editeur), S. I. Gelfand (Traduction), S.I. Gelfand (Traduction), Yu. I. Manin (Traduction), Yu.I. Manin (Traduction)
• Edition: Springer, Berlin
• Langues: Anglais
• Format d'édition: Livre de poche
• Sortie: 01.01.1999
• EAN: 9783540653783
• ISBN: 978-3-540-65378-3
• Pages: 222
• Dimensions: 156 mm x 237 mm x 15 mm
• Poids: 358 g
• Illustrations: V, 222 p.
• Séries: Algebra; Algebra
• Thèmes: Encyclopaedia of Mathematical Sciences; Encyclopaedia of Mathematical Sciences
• Catégorie: Sciences naturelles, médecine, informatique, technique > Mathématiques > Arithmétique, algèbre