Threading homology through algebra : selected patterns
Author(s)
Bibliographic Information
Threading homology through algebra : selected patterns
(Oxford mathematical monographs)(Oxford science publications)
Clarendon Press , Oxford University Press, 2006
Available at 21 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
-
Library, Research Institute for Mathematical Sciences, Kyoto University数研
BOF||2||1200021323976
Note
Includes bibliographical reference(p. [249]-252) and index
Description and Table of Contents
Description
Threading Homology through Algebra takes homological themes (Koszul complexes and their variations, resolutions in general) and shows how these affect the perception of certain problems in selected parts of algebra, as well as their success in solving a number of them. The text deals with regular local rings, depth-sensitive complexes, finite free resolutions, letter-place algebra, Schur and Weyl modules, Weyl-Schur complexes and determinantal ideals. Aimed
at graduates and academics in mathematics, the book provides an overview of the developments that have taken place in these areas as well as an insight into some of the open problems which exist.
Table of Contents
- Preface
- 1. Recollections and perspectives
- 2. Local ring theory
- 3. Generalized Koszul complexes
- 4. Structure theorems for finite free resolutions
- 5. Exactness criteria at work
- 6. Weyl and Schur modules
- 7. Some applications of Weyl and Schur modules
- Appendix for letter-place methods
- References
- Index
by "Nielsen BookData"