ENGLISH

Green Functors and G-sets

By N. Bourbaki

Book information

Publisher
Springer
Year
1997
ISBN
9783540344926, 3540344926
Open Library ID
OL9669923M
Language
english
Format
PDF
Filesize
11 MB (11297640 bytes)
Series
Lecture Notes in Mathematics
Edition
1
Pages
342\342
Time added
2010-02-18 13:16:04

Description

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.

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