Decomposition of pointwise finite-dimensional persistence modules

2012/10/02 by Crawley-Boevey, William · 23 citations
#16G20 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1210.0819

Abstract

We show that a persistence module (for a totally ordered indexing set) consisting of finite-dimensional vector spaces is a direct sum of interval modules. The result extends to persistence modules with the descending chain condition on images and kernels.

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• On interval decomposition of persistence modules
• Interval Decomposition of Persistence Modules over a Principal Ideal Domain
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