Threading Homology Through Algebra

Selected Patterns

Giandomenico Boffi, David Buchsbaum - Collection Oxford Mathematical Monographs

268 pages, parution le 29/06/2006

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Résumé

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.

Readership: Graduates and researchers in mathematics

L'auteur - Giandomenico Boffi

Giandomenico Boffi, Professor of Algebra, Università "G. d'Annunzio", Chieti-Pescara

L'auteur - David Buchsbaum

David Buchsbaum, Professor Emeritus of Mathematics, Brandeis University

Sommaire

Recollections and perspectives
Local ring theory
Generalized Koszul complexes
Structure theorems for finite free resolutions
Exactness criteria at work
Weyl and Schur modules
Some applications of Weyl and Schur modules
Appendix for letter-place methods

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	PAPIER
Éditeur(s)	Oxford University Press
Auteur(s)	Giandomenico Boffi, David Buchsbaum
Collection	Oxford Mathematical Monographs
Parution	29/06/2006
Nb. de pages	268
Format	16 x 24
Couverture	Relié
Poids	530g
Intérieur	Noir et Blanc
EAN13	9780198524991
ISBN13	978-0-19-852499-1