arXiv:1811.08946 Abstract | arXiv Analytics

arXiv:1811.08946 [math.RT]Abstract References Reviews Resources

Decomposition of persistence modules

Magnus Bakke Botnan, William Crawley-Boevey

Published 2018-11-21Version 1

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.

Comments: 16 pages

Categories: math.RT, math.AT

Keywords: decomposition, pointwise finite-dimensional persistence module, small category decomposes, local endomorphism rings, fundamental structure theorems

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