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    Threading Homology through Algebra: Selected patterns

    Threading Homology through Algebra by Boffi, Giandomenico; Buchsbaum, David;

    Selected patterns

    Series: Oxford Mathematical Monographs;

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    Product details:

    • Publisher OUP Oxford
    • Date of Publication 29 June 2006

    • ISBN 9780198524991
    • Binding Hardback
    • No. of pages268 pages
    • Size 242x162x19 mm
    • Weight 537 g
    • Language English
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    Short description:

    Aimed at graduate students and researchers in mathematics, this book takes homological themes, such as Koszul complexes and their generalizations, and shows how these can be used to clarify certain problems in selected parts of algebra, as well as their success in solving a number of them.

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    Long 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.

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    Table of Contents:

    Preface
    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
    References
    Index

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