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- catalog abstract "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.".
- catalog contributor b10564039.
- catalog created "c1997.".
- catalog date "1997".
- catalog date "c1997.".
- catalog dateCopyrighted "c1997.".
- catalog description "Includes bibliographical references and index.".
- catalog description "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.".
- catalog 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.".
- catalog extent "vii, 342 p. ;".
- catalog hasFormat "Green functors and G-sets.".
- catalog identifier "3540635505 (pbk. : acid-free paper)".
- catalog isFormatOf "Green functors and G-sets.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1671.".
- catalog isPartOf "Lecture notes in mathematics ; 1671".
- catalog issued "1997".
- catalog issued "c1997.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer,".
- catalog relation "Green functors and G-sets.".
- catalog subject "510 s 512/.55 21".
- catalog subject "Finite groups.".
- catalog subject "Green functors.".
- catalog subject "Group rings.".
- catalog subject "Group theory.".
- catalog subject "K-theory.".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no. 1671 QA169".
- catalog tableOfContents "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.".
- catalog title "Green functors and G-sets / Serge Bouc.".
- catalog type "text".