Representations of Elementary Abelian P-Groups and Vector Bundles

ISBN-13: 9781107174177 / Angielski / Twarda / 2016 / 348 str.

David J. Benson

Opis

An up to date study of recent progress in vector bundle methods in the representation theory of elementary abelian groups.

Recenzje

'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

Spis treści

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.