Green Functors and G-sets

Serge Bouc (Autor)

Buch | Softcover

VII, 342 Seiten

1997 | 1997
Springer Berlin (Verlag)
978-3-540-63550-5 (ISBN)

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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.

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.

Erscheint lt. Verlag	10.10.1997
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	VII, 342 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	456 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	Algebra • categories • category theory • Equivalence • Finite • functors • Group representation • Gruppe (Mathematik) • Homologische Algebra • Kategorien • Representation Theory • Ring Theory
ISBN-10	3-540-63550-5 / 3540635505
ISBN-13	978-3-540-63550-5 / 9783540635505
Zustand	Neuware