Green functors and G-sets
Author(s)
Bibliographic Information
Green functors and G-sets
（Lecture notes in mathematics, 1671）
Springer, c1997
Available at / 90 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
pbk. :L/N||LNM||1671RM971121
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Kobe University Library for Science and Technology
: pbk410-4-1//1671030009708491,
410-4-1//1671030009708491 -
Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
: pbk.512.55/B662070428986
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Note
Includes bibliographical references (p. [337]-338) and index
Description and Table of Contents
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.
Table of 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.
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