David J. Benson is currently the Sixth Century Professor of Mathematics at the University of Aberdeen. He has authored a number of books, including Representations and Cohomology (Cambridge, 1991) and Polynomial Invariants of Finite Groups (Cambridge, 1993).

• Preface; Introduction; 1. Modular representations and elementary abelian groups; 2. Cyclic groups of order p; 3. Background from algebraic geometry; 4. Jordan type; 5. Modules of constant Jordan type; 6. Vector bundles on projective space; 7. Chern classes; 8. Modules of constant Jordan type and vector bundles; 9. Examples; 10. Restrictions coming from Chern numbers; 11. Orlov's correspondence; 12. Phenomenology of modules over elementary abelian p-groups; A. Modules for Z/p; B. Problems; References; Index.

'In summary, this book provides a thorough introduction to the theory of the correspondence between modular representations of elementary abelian groups and vector bundles over projective space. In it the reader will find results from the literature, as well as new contributions to the field. It provides all of the background necessary to understand the material, and provides a lot of interesting examples as well as open problems.' Alan Koch, Mathematical Reviews

David J. Benson is currently the Sixth Century Professor of Mathematics at the University of Aberdeen. He has authored a number of books, including Representations and Cohomology (Cambridge, 1991) and Polynomial Invariants of Finite Groups (Cambridge, 1993).

• Preface; Introduction; 1. Modular representations and elementary abelian groups; 2. Cyclic groups of order p; 3. Background from algebraic geometry; 4. Jordan type; 5. Modules of constant Jordan type; 6. Vector bundles on projective space; 7. Chern classes; 8. Modules of constant Jordan type and vector bundles; 9. Examples; 10. Restrictions coming from Chern numbers; 11. Orlov's correspondence; 12. Phenomenology of modules over elementary abelian p-groups; A. Modules for Z/p; B. Problems; References; Index.

'In summary, this book provides a thorough introduction to the theory of the correspondence between modular representations of elementary abelian groups and vector bundles over projective space. In it the reader will find results from the literature, as well as new contributions to the field. It provides all of the background necessary to understand the material, and provides a lot of interesting examples as well as open problems.' Alan Koch, Mathematical Reviews

David J. Benson is currently the Sixth Century Professor of Mathematics at the University of Aberdeen. He has authored a number of books, including Representations and Cohomology (Cambridge, 1991) and Polynomial Invariants of Finite Groups (Cambridge, 1993).

• Preface; Introduction; 1. Modular representations and elementary abelian groups; 2. Cyclic groups of order p; 3. Background from algebraic geometry; 4. Jordan type; 5. Modules of constant Jordan type; 6. Vector bundles on projective space; 7. Chern classes; 8. Modules of constant Jordan type and vector bundles; 9. Examples; 10. Restrictions coming from Chern numbers; 11. Orlov's correspondence; 12. Phenomenology of modules over elementary abelian p-groups; A. Modules for Z/p; B. Problems; References; Index.

'In summary, this book provides a thorough introduction to the theory of the correspondence between modular representations of elementary abelian groups and vector bundles over projective space. In it the reader will find results from the literature, as well as new contributions to the field. It provides all of the background necessary to understand the material, and provides a lot of interesting examples as well as open problems.' Alan Koch, Mathematical Reviews