Threading Homology Through Algebra

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.