Under construction
In the -equivariant context for a finite group , the role of abelian groups in non-equivariant algebra is now taken by Mackey functors. The category of Mackey functors is a closed symmetric monoidal category with symmetric monoidal product, the box product. Green functors are commutative monoids for this box product.
A Green functor is a Mackey functor such that for all finite -sets , is commutative ring, such that all restriction maps are maps of commutative rings, and such that if is a map of finite -sets, then we have the Frobenius reciprocity relation
for all and .
Last revised on August 8, 2017 at 07:40:22. See the history of this page for a list of all contributions to it.