Threading Homology Through Algebra: Selected patterns

Hardcover | June 29, 2006

byGiandomenico Boffi, David Buchsbaum

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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 withregular 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 theseareas as well as an insight into some of the open problems which exist.

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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 withregular local rings, depth-sensitive complexes,...

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 Colum...
Format:HardcoverDimensions:272 pages, 9.21 × 6.14 × 0.78 inPublished:June 29, 2006Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198524994

ISBN - 13:9780198524991

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Table of Contents

Preface1. Recollections and perspectives2. Local ring theory3. Generalized Koszul complexes4. Structure theorems for finite free resolutions5. Exactness criteria at work6. Weyl and Schur modules7. Some applications of Weyl and Schur modulesAppendix for letter-place methodsReferencesIndex