On the representation types of finite EI categories
Liping Li
TL;DR
This paper investigates the representation types of finite EI categories, providing criteria for finite representation type and classifying several classes with additional properties.
Contribution
It introduces new criteria for determining finite representation type and classifies various classes of finite EI categories based on these criteria.
Findings
Identified criteria for finite representation type
Classified several classes of finite EI categories
Provided insights into the structure of EI categories
Abstract
A finite EI category is a small category with finitely many morphisms 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, describe some criteria for finite representation type, and use them to classify the representation types of several classes of finite EI categories with extra properties.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra