TY  - BOOK
AU  - Bouc,Serge
ED  - SpringerLink (Online service)
TI  - Green Functors and G-sets
T2  - Lecture Notes in Mathematics,
SN  - 9783540695967
AV  - QA612.33 
U1  - 512.66 23
PY  - 1997///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Group theory
KW  - K-theory
KW  - K-Theory
KW  - Group Theory and Generalizations
N1  - 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
N2  - 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 extended to Green functors (opposite Green functor, bimodules, Morita theory, simple modules, centres,...). There are moreover connections between Green functors for different groups, given by functors associated to bisets. Intended for researchers and students in representation theory of finite groups it requires only basic algebra and category theory, though knowledge of the classical examples of Mackey functors is probably preferable
UR  - http://dx.doi.org/10.1007/BFb0095821
ER  -