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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Bibliographic Information

Book Title: Green Functors and G-sets
Authors: Serge Bouc
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/BFb0095821
Publisher: Springer Berlin, Heidelberg
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1997
Softcover ISBN: 978-3-540-63550-5Published: 10 October 1997
eBook ISBN: 978-3-540-69596-7Published: 14 November 2006
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: VII, 342
Topics: K-Theory, Group Theory and Generalizations

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Table of contents (13 chapters)

Front Matter

Back Matter

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