5 citations · 5 across the 2 of their papers we have counts for
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math.RT2019
Cotorsion torsion triples and the representation theory of filtered hierarchical clustering
Ulrich Bauer, Magnus B. Botnan, Steffen Oppermann +1
We give a full classification of representation types of the subcategories of representations of an rectangular grid with monomorphisms (dually, epimorphisms) in one o…
math.RT2018
Decomposition of persistence modules
Magnus Bakke Botnan, William Crawley-Boevey
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 ap…
math.RT2015
Interval Decomposition of Infinite Zigzag Persistence Modules
Magnus Bakke Botnan
We show that every infinite zigzag persistence module decomposes into a direct sum of interval persistence modules.