Title: Representations of categories and their applications

Author: Fei Xu
Address: School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA}

Abstract:

We define for each small category C a category algebra RC over
a base ring R and study its representations. When C is an
EI-category, we develop a theory of vertices and sources for
RC-mod, which parameterizes the indecomposable RC-modules. As
a main application, we use our theory to find formulas for 
computing higher (inverse) limits over C.