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math.RT2020
Infinitesimal semi-invariant pictures and co-amalgamation
Eric J. Hanson, Kiyoshi Igusa, Moses Kim +1
The purpose of this paper is to study the local structure of the semi-invariant picture of a tame hereditary algebra near the null root. Using a construction that we call co-amalga…
math.RT2020★ 5 cited
Pairwise Compatibility for 2-Simple Minded Collections II: Preprojective Algebras and Semibrick Pairs of Full Rank
Emily Barnard, Eric J. Hanson
Let be a finite-dimensional associative algebra over a field. A semibrick pair is a finite set of -modules for which certain Hom- and Ext-sets vanish. A semibrick pair is co…
math.RT2020★ 3 cited
Decomposition of Pointwise Finite-Dimensional S^1 Persistence Modules
Eric J. Hanson, Job D. Rock
We prove that pointwise finite-dimensional S^1 persistence modules over an arbitrary field decompose uniquely, up to isomorphism, into the direct sum of a bar code and finitely-man…