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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Green Functors and G-Sets

Green Functors and G-Sets

Bouc, Serge

Paperback

Series: Lecture Notes in Mathematics, Book 1671

AlgebraGeneral Mathematics

ISBN10: 3540635505
ISBN13: 9783540635505
Publisher: Springer Nature
Published: Oct 10 1997
Pages: 342
Weight: 1.09
Height: 0.73 Width: 6.14 Depth: 9.21
Language: English
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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