Non-Additive Exact Functors and Tensor Induction for Mackey Functors (Memoirs of the American Mathematical Society) - Softcover

Bouc, Serge

 
9780821819517: Non-Additive Exact Functors and Tensor Induction for Mackey Functors (Memoirs of the American Mathematical Society)
Softcover
ISBN 10: 0821819518 ISBN 13: 9780821819517
Verlag: American Mathematical Society, 2000

Inhaltsangabe

First I will introduce a generalization of the notion of (right)-exact functor between abelian categories to the case of non-additive functors. The main result of this selection 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 I use those results 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.

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Verlag
American Mathematical Society
Erscheinungsdatum
2000
Sprache
Englisch
ISBN 10 
0821819518
ISBN 13 
9780821819517
Einband
Taschenbuch
Anzahl der Seiten
74
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