2000 character limit reached
Invertibility in Category Representations (2010.11276v2)
Published 21 Oct 2020 in math.CT and math.RT
Abstract: Inverse categories are categories in which every morphism x has a unique pseudo-inverse y in the sense that xyx=x and yxy=y. Persistence modules from topological data analysis and similarly decomposable category representations factor through inverse categories. This paper gives a numerical condition, decidable when the indexing category is finite, characterizing when a representation of a small category factors through an inverse category.
Collections
Sign up for free to add this paper to one or more collections.