
Threading Homology through Algebra
Selected patterns
Oxford University Press
Published on 29. June 2006
Book
Hardback
268 pages
978-0-19-852499-1 (ISBN)
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.
More details
Series
Language
English
Place of publication
Oxford
United Kingdom
Target group
Professional and scholarly
Dimensions
Height: 240 mm
Width: 161 mm
Thickness: 19 mm
Weight
570 gr
ISBN-13
978-0-19-852499-1 (9780198524991)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Giandomenico Boffi, a graduate of the Universita "La Sapienza" (Roma), received his Ph.D. from Brandeis University (Waltham, MA). He is currently Professor of Algebra at the Universita "G. d'Annunzio" (Chieti-Pescara). He has published articles on commutative algebra and representation theory.; David A. Buchsbaum, a graduate of Columbia College (New York), received his Ph. D. from Columbia University. He is Professor Emeritus of Mathematics at Brandeis University (Waltham, MA). His publications include articles on category theory, commutative algebra, homological algebra and representation theory as well as a graduate text in algebra. He was also an algebra editor for the Transactions of the Amer. Math. Soc. and a founding editor of the Journal of Algebra. A recipient of a Guggenheim Fellowship, he is also a fellow of the American Academy of Arts and Sciences.
Author
, Professor of Algebra, Universita "G. d'Annunzio", Chieti-Pescara
, Professor Emeritus of Mathematics, Brandeis University
Content
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