Threading Homology through Algebra

Selected patterns

AvGiandomenico Boffi,David Buchsbaum

Inbunden, Engelska, 2006

Del i serien Oxford Mathematical Monographs

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2006-06-29
Mått:162 x 242 x 19 mm
Vikt:537 g
Format:Inbunden
Språk:Engelska
Serie:Oxford Mathematical Monographs
Antal sidor:268
Förlag:OUP OXFORD
ISBN:9780198524991

Utforska kategorier

Algebra inom Naturvetenskap och teknik

Mer om författaren

Giandomenico Boffi, a graduate of the Università "La Sapienza" (Roma), received his Ph.D. from Brandeis University (Waltham, MA). He is currently Professor of Algebra at the Università "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.

Innehållsförteckning

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