17 citations · 57 across the 16 of their papers we have counts for
13 papers · 1 filter
A facial order for torsion classes
Eric J. Hanson
We generalize the "facial weak order" of a finite Coxeter group to a partial order on a set of intervals in a complete lattice. We apply our construction to the lattice of torsion…
-exceptional sequences and the shard intersection order in type A
Eric J. Hanson
Reading's "shard intersection order" on the symmetric group can be realized as the "lattice of wide subcategories" of the corresponding preprojective algebra. In this paper, we fir…
Morphisms and extensions between bricks over preprojective algebras of type A
Eric J. Hanson, Xinrui You
The bricks over preprojective algebras of type A are known to be in bijection with certain combinatorial objects called "arcs". In this paper, we show how one can use arcs to compu…
A uniqueness property of τ exceptional sequences
Eric J. Hanson, Hugh Thomas
Recently, Buan and Marsh showed that if two complete -exceptional sequences agree in all but at most one term, then they must agree everywhere, provided the algebra is -tilti…
Exceptional sequences in semidistributive lattices and the poset topology of wide subcategories
Emily Barnard, Eric J. Hanson
Let be a finite-dimensional algebra over a field . We describe how Buan and Marsh's -exceptional sequences can be used to give a "brick labeling" of a certain poset of wi…
-perpendicular wide subcategories
Aslak Bakke Buan, Eric J. Hanson
Let be a finite-dimensional algebra. A wide subcategory of is called left finite if the smallest torsion class containing it is functorially finite. In this pap…
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…
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…
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…
Resolution quiver and cyclic homology criteria for Nakayama algebras
Eric J. Hanson, Kiyoshi Igusa
If a Nakayama algebra is not cyclic, it has finite global dimension. For a cyclic Nakayama algebra, there are many characterizations of when it has finite global dimension. In [She…
A counterexample to the -dimension conjecture
Eric J. Hanson, Kiyoshi Igusa
In 2005, the second author and Todorov introduced an upper bound on the finitistic dimension of an Artin algebra, now known as the ϕ-dimension. The ϕ-dimension conjecture states th…
Pairwise Compatibility for 2-Simple Minded Collections
Eric J. Hanson, Kiyoshi Igusa
In -tilting theory, it is often difficult to determine when a set of bricks forms a 2-simple minded collection. The aim of this paper is to determine when a set of bricks is con…
τ-Cluster Morphism Categories and Picture Groups
Eric J. Hanson, Kiyoshi Igusa
-cluster morphism categories, introduced by Buan and Marsh, are a generalization of cluster morphism categories (defined by Igusa and Todorov). We show the classifying space of…