Green functors and G-sets / Serge Bouc.

By: Bouc, Serge, 1955-Material type: Text

Contents:

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.

Action note: digitized 2010 committed to preserveSummary: 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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Item type	Current library	Collection	Call number	Status	Date due	Barcode	Item holds
eBook	e-Library Electronic Book@IST	Ebook LN Mathematic		Available

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Includes bibliographical references (pages 337-338) and index.

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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Print version record.

English.