18 citations · 46 across the 8 of their papers we have counts for
8 papers · 1 filter
Counting linear extensions of posets with determinants of hook lengths
Alexander Garver, Stefan Grosser, Jacob P. Matherne +1
We introduce a class of posets, which includes both ribbon posets (skew shapes) and -complete posets, such that their number of linear extensions is given by a determinant of a…
Minuscule reverse plane partitions via quiver representations
Alexander Garver, Rebecca Patrias, Hugh Thomas
The Hillman--Grassl correspondence is a well-known bijection between multisets of rim hooks of a partition shape and reverse plane partitions of . We use the tools of quiver…
Leading terms of web invariants
Véronique Bazier-Matte, Guillaume Douville, Alexander Garver +3
We use Khovanov and Kuperberg's web growth rules to identify the minimal term in the invariant associated to an web diagram, with respect to a particular term order.
The canonical join complex for biclosed sets
Alexander Clifton, Peter Dillery, Alexander Garver
The canonical join complex of a semidistributive lattice is a simplicial complex whose faces are canonical join representations of elements of the semidistributive lattice. We give…
Greene--Kleitman invariants for Sulzgruber insertion
Alexander Garver, Rebecca Patrias
R. Sulzgruber's rim hook insertion and the Hillman-Grassl correspondence are two distinct bijections between the reverse plane partitions of a fixed partition shape and multisets o…
Enumerative properties of Grid-Associahedra
Alexander Garver, Thomas McConville
We continue the study of the nonkissing complex that was introduced by Petersen, Pylyavskyy, and Speyer and was studied lattice-theoretically by the second author. We introduce a t…
Minimal length maximal green sequences
Alexander Garver, Thomas McConville, Khrystyna Serhiyenko
Maximal green sequences are important objects in representation theory, cluster algebras, and string theory. It is an open problem to determine what lengths are achieved by the max…
On Maximal Green Sequences For Type A Quivers
Alexander Garver, Gregg Musiker
Given a framed quiver, i.e. one with a frozen vertex associated to each mutable vertex, there is a concept of green mutation, as introduced by Keller. Maximal sequences of such mut…