Abstract:
We develop the categorical properties of
Mackey functors. Mackey functors became important
in the theory of representation of groups since groups
have been studied using Mackey functors during the
last 40 years. In this paper we use the categorical
definition for Mackey functors and investigate their
categorical properties on compact Lie groups. We show
that the category of Mackey functors on a compact Lie
groups is a monoidal category and its monoids are
Green functors