17 citations · 57 across the 16 of their papers we have counts for
4 papers · 2 filters
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…