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作者 Bouc, Serge, 1955-
書名 Green functors and G-sets [electronic resource] / Serge Bouc
出版項 Berlin ; New York : Springer, c1997
國際標準書號 9783540695967 (electronic bk.)
3540695966 (electronic bk.)
book jacket
說明 1 online resource (342 p.)
系列 Lecture notes in mathematics, 0075-8434 ; 1671
Lecture notes in mathematics (Springer-Verlag) ; 1671
附註 Includes bibliographical references (p. [337]-338) and index
Description based on print version record
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
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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鏈接 Print version: Bouc, Serge, 1955- Green functors and G-sets. Berlin ; New York : Springer, c1997 3540635505 (DLC) 97037135 (OCoLC)37573983
主題 Green functors
Group rings
Finite groups
Foncteur Green
Foncteur Mackey
Equivalence Morita
Green, Foncteurs de
Anneaux de groupes
Groupes finis
K-theorie. gtt
Algebra associativa. larpcal
Teoria dos grupos. larpcal
Anneaux de groupes. ram
Groupes finis. ram
Endliche Gruppe. swd
Gruppenring. swd
Green-Funktor. swd
Finite groups. fast (OCoLC)fst00924908
Green functors. fast (OCoLC)fst00947609
Group rings. fast (OCoLC)fst00948510
Electronic books
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