Non-additive Exact Functors and Tensor Induction for Mackey Functors by Bouc, Serge ISBN 0821819518
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[edit] Non-additive Exact Functors and Tensor Induction for Mackey Functors
The author introduces a generalization of the notion of (right)-exact functor between abelian categories to the case of non-additive functors, resulting in an extension theorem: any functor defined on a suitable subcategory can be extended uniquely to a right exact functor defined on the whole category.
First the author introduces a generalization of the notion of (right)-exact functor between abelian categories to the case of non-additive functors. The main result of this section is an extension theorem: any functor defined on a suitable subcategory can be extended uniquely to a right exact functor defined on the whole category. Next those results are used to define various functors of generalized tensor induction, associated to finite bisets, between categories attached to finite groups. This includes a definition of tensor induction for Mackey functors, for cohomological Mackey functors, for p-permutation modules and algebras. This also gives a single formalism of bisets for restriction, inflation, and ordinary tensor induction for modules.
[edit] Book Details
[edit] Title
Non-additive Exact Functors and Tensor Induction for Mackey Functors
[edit] Author
Bouc, Serge
[edit] ISBN
0821819518
[edit] Published
29/02/2000
[edit] Publisher
American Mathematical Society
[edit] Binding
[edit] Retail Price
28.75 (GBP)
[edit] Typical Price Online
28.75 (GBP)
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