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＜E-Book＞
Green Functors and G-sets / by serge Bouc
(Lecture Notes in Mathematics. ISSN:16179692 ; 1671)

Edition	1st ed. 1997.
Publisher	Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Year	1997
Language	English
Size	VII, 342 p : online resource
Authors	*Bouc, serge author SpringerLink (Online service)
Subjects	LCSH:K-theory LCSH:Group theory FREE:K-Theory FREE:Group Theory and Generalizations
Notes	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 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 HTTP:URL=https://doi.org/10.1007/BFb0095821

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