TY  - BOOK
AU  - Bouc,Serge
TI  - Green functors and G-sets
T2  - Lecture notes in mathematics,
SN  - 9783540695967
AV  - QA3 .L28 no. 1671
U1  - 510 s512/.55 21
PY  - 1997///
CY  - Berlin, New York
PB  - Springer
KW  - Green functors
KW  - Group rings
KW  - Finite groups
KW  - Green, Foncteurs de
KW  - Anneaux de groupes
KW  - Groupes finis
KW  - fast
KW  - Endliche Gruppe
KW  - gnd
KW  - Gruppenring
KW  - Green-Funktor
KW  - K-theorie
KW  - gtt
KW  - Algebra associativa
KW  - larpcal
KW  - Teoria dos grupos
KW  - ram
KW  - Electronic books
N1  - Includes bibliographical references (pages 337-338) and index; 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 -- Bibliography -- Index; Electronic reproduction; [Place of publication not identified]; HathiTrust Digital Library; 2010
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  - https://link-springer-com.libraryproxy.ist.ac.at/10.1007/BFb0095821
ER  -