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- W2149652210 abstract "Motivated by applications to Mackey functors, Serge Bouc (Bo) character- ized pullback and finite coproduct preserving functors between categories of permutation representations of finite groups. Initially surprising to a category theorist, this result does have a categorical explanation which we provide. For a finite group G, we write G-setfin for the category of finite (left) G-sets (that is, of permutation representations of G) and equivariant functions. We write Spn(G-setfin) for the category whose morphisms are isomorphism classes of spans between finite G- sets. Coproducts in Spn(G-setfin) are those of G-setfin and composition in Spn(G-setfin) involves pullbacks in G-setfin. According to Harald Lindner (Li), a Mackey functor M on a finite group H is a coprod- uct preserving functor M : Spn(H-setfin) / Modk. A functor F : G-setfin / H-setfin which preserves pullbacks and finite coproducts will induce a functor" @default.
- W2149652210 created "2016-06-24" @default.
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- W2149652210 date "2006-01-01" @default.
- W2149652210 modified "2023-09-24" @default.
- W2149652210 title "PULLBACK AND FINITE COPRODUCT PRESERVING FUNCTORS BETWEEN CATEGORIES OF PERMUTATION REPRESENTATIONS" @default.
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