Decomposition of persistence modules

2018/11/21 by Botnan, Magnus Bakke, Crawley-Boevey, William · 8 citations
#Algebraic Topology (math.AT) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1811.08946

Abstract

We show that a pointwise finite-dimensional persistence module indexed over a small category decomposes into a direct sum of indecomposables with local endomorphism rings. As an application of this result we give new, short proofs of fundamental structure theorems for persistence modules.

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