Notice bibliographique
- Notice
Type(s) de contenu et mode(s) de consultation : Texte noté : électronique
Auteur(s) : Bouc, Serge (1955-....)
Titre(s) : Green functors and G-sets [Texte électronique] / Serge Bouc
Publication : Berlin ; New York : Springer, cop. 1997
Description matérielle : 1 online resource (342 pages)
Collection : Lecture notes in mathematics ; 1671
Note(s) : Includes bibliographical references (pages 337-338) and index. - Print version record.
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
Sujet(s) : K-théorie
Théorie des groupes
Groupes finis
Anneaux de groupes
Indice(s) Dewey :
510 (23e éd.) = Mathématiques ; 512.55 (23e éd.) = Algèbres et groupes topologiques et connexes
Identifiants, prix et caractéristiques : ISBN 9783540695967
Identifiant de la notice : ark:/12148/cb446944093
Notice n° :
FRBNF44694409
(notice reprise d'un réservoir extérieur)
Table des matières : 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.
