ON THE REPRESENTATION TYPES OF CATEGORY ALGEBRAS OF FINITE EI CATEGORIES
LIPING LI
Abstract. A finite EI category is a small category with finitely many mor- phisms such that every endomorphism is an isomorphism. They include finite groups, finite posets and free categories of finite quivers as special cases. In this paper we consider the representation types of finite EI categories with two or three objects, describe some criteria for finite representation type, and use them to classify the representation types of the category algebras of several classes of finite EI categories with extra properties.