Green Functors and G-sets

• Main Author: Bouc, serge (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1997.
• Edition: 1st ed. 1997.
• Series: Lecture Notes in Mathematics, 1671
• Subjects: K-theory.; Group theory.; K-Theory.; Group Theory and Generalizations.

This book provides a definition of Green functors for a finite group G, and of modules over it, in terms of the category of finite G-sets. Some classical constructions, such as the associated categroy or algebra, have a natural interpretation in that framework. Many notions of ring theory can be ext...

Table of Contents:

• Mackey functors
• Green functors
• The category associated to a green functor
• The algebra associated to a green functor
• Morita equivalence and relative projectivity
• Construction of green functors
• A morita theory
• Composition
• Adjoint constructions
• Adjunction and green functors
• The simple modules
• Centres.