8 citations · 24 across the 14 of their papers we have counts for
13 papers · 1 filter
From finite to infinite length modules over tame hereditary algebras
Lidia Angeleri Hügel, Andrew Hubery, Henning Krause
A self-contained introduction to infinite dimensional representations over a tame hereditary algebra is provided, assuming a basic knowledge of the category of finite dimensional r…
The invariance of the Auslander-Reiten Formula for hereditary algebras
Andrew Hubery
We show that the Auslander-Reiten Formula for a finite dimensional hereditary algebra is invariant under the Auslander-Reiten translate.
On the global dimension and Koszul property for preprojective algebras
Andrew Hubery
We study preprojective algebras associated to either finite dimensional hereditary algebras, or locally finite hereditary tensor algebras, and in particular show that they have glo…
A new approach to simple modules for preprojective algebras
William Crawley-Boevey, Andrew Hubery
The work of the first author on the moment map for representations of quivers included a classification of the possible dimension vectors of simple modules for deformed preprojecti…
A categorification of non-crossing partitions
Andrew Hubery, Henning Krause
We present a categorification of the non-crossing partitions given by crystallographic Coxeter groups. This involves a category of certain bilinear lattices, which are essentially…
Irreducible components of quiver Grassmannians
Andrew Hubery
We prove a decomposition theorem for irreducible components of Grassmannians of submodules, as well as for other schemes arising from representation theory, thus generalising the r…