4 papers
The global representation fibered ring
J. Miguel Calderón, Alberto G. Raggi-Cárdenas
In this paper, we combine the concepts of the fibered Burnside ring and the character ring, viewing them as fibered biset functors, into what we call the global representation fibe…
Characterization of groupoid categories in terms of its category of -sets
J. Miguel Calderón, Alberto Gerardo Raggi-Cárdenas, Itzel Rosas +1
A -set is a functor from the category to the category of finite sets and functions. The category of -sets, $\mathcal{C} - \operatorname*{set…
The lower plus and upper plus constructions for fibered biset functors
J. Miguel Calderón
Let A be an abelian group, not necessarily finite. The main objective of this paper is to provide two constructions for a fibered A-biset functor. The first is the lower plus const…
Ideals of some Green biset functors
J. Miguel Calderón
In this article, we describe the lattice of ideals of some Green biset functors. We consider Green biset functors which satisfy that each evaluation is a finite dimensional split s…