6 citations · 6 across the 3 of their papers we have counts for
9 papers
Maximal green sequences for string algebras
Alexander Garver, Khrystyna Serhiyenko
Maximal green sequences are important objects in representation theory, cluster algebras, and string theory. The two fundamental questions about maximal green sequences are whether…
Combinatorics of Type D Exceptional Sequences
Emily Carrick, Alexander Garver
Exceptional sequences are important sequences of quiver representations in the study of representation theory of algebras. They are also closely related to the theory of cluster al…
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.
A categorification of biclosed sets of strings
Alexander Garver, Thomas McConville, Kaveh Mousavand
We consider the closure space on the set of strings of a gentle algebra of finite representation type. Palu, Pilaud, and Plamondon proved that the collection of all biclosed sets o…