Non-Additive Exact Functors and Tensor Induction for Mackey Functors Serge Bouc

ISBN: 9780821819517

Published: May 1st 2000

Paperback

74 pages


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Non-Additive Exact Functors and Tensor Induction for Mackey Functors  by  Serge Bouc

Non-Additive Exact Functors and Tensor Induction for Mackey Functors by Serge Bouc
May 1st 2000 | Paperback | PDF, EPUB, FB2, DjVu, AUDIO, mp3, RTF | 74 pages | ISBN: 9780821819517 | 6.56 Mb

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 suitableMoreFirst 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.



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