1. Mackey's formula H some ideas in the proof; Proposition 1.1 (Mackey). The restriction ResK(IndG H( )) of the G-representation IndG H( ) to a K-representation decomposes as a …

We study collections of additive categories M(G), in-dexed by finite groups G and related by induction and restriction in a way that categorifies usual Mackey functors. We call them …

INDUCED MODULES: THE MACKEY DECOMPOSITION THEOREM ROLF FARNSTEINER n an R-mo ule M, we can form the induced S-mod S ⊗R M. In this fashion, we obtain a functor …

Mackey functor is an algebraic structure possessing operations which behave like the induction, restriction and conjugation mappings in group representation theory.

They cover several equivalent definitions of Mackey functors, and—along the way—introduce representation theory of finite groups, relative homological algebra, and some monoidal …

Mackey's algorithm for classifying the irreducible unitary representations of a group G having a "regularly embedded" closed type I normal subgroup N, known in the trade as the "Mackey …

Remark 3.9 - In fact, our proof shows that, if we are able to prove the Mackey formula (MG,L,P,M,Q) whenever (G, F) is semisimple and simply-connected of type 2E6, q = 2 and M …