Non-Additive Exact Functors and Tensor Induction for Mackey Functors - Brossura

Bouc, Serge

Brossura

ISBN 10: 0821819518 ISBN 13: 9780821819517

Casa editrice: Amer Mathematical Society, 2000

Riassunto

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.

Dettagli dell'edizione

• Editore: Amer Mathematical Society
• Data di pubblicazione: 2000
• Lingua: Inglese
• ISBN 10: 0821819518
• ISBN 13: 9780821819517
• Rilegatura: Copertina flessibile
• Numero di pagine: 74
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile