Homological algebra

Author(s)
Bibliographic Information

Homological algebra

S.I. Gelfand, Yu.I. Manin

Springer-Verlag, c1999

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Note

"Title of the Russian edition: Itogi nauki i tekhniki, Sovremennye problemy matematiki, Fundamental'nye napravleniya, vol. 38, Algebra 5, Publisher VINITI, Moscow 1989"--T.p. verso

"Second printing 1999 of the first edition 1994, which was originally published as Algebra V, Volume 38 of the Encyclopedia of Mathematical Sciences"--T.p. verso

Includes bibliographical references and indexes

Description and Table of Contents

Description

This book, the first printing of which was published as volume 38 of the Encyclopaedia of Mathematical Sciences, presents a modern approach to homological algebra, 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 Gelfand 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 geometry and algebraic topology.

Table of Contents

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.

by "Nielsen BookData"

Details
  • NCID
    BA42371104
  • ISBN
    • 3540653783
  • Country Code
    gw
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Original Language Code
    rus
  • Place of Publication
    Berlin
  • Pages/Volumes
    222 p.
  • Size
    24 cm
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