74 citations · 388 across the 15 of their papers we have counts for
15 papers
Modular invariants and NIM-reps
Alastair King, Leonard Hardiman
Given a pivotal module category over a spherical fusion category, we introduce the encircling module, a module over the fusion algebra defined using the pivotal structure, and prov…
Perfect matching modules, dimer partition functions and cluster characters
İlke Çanakçı, Alastair King, Matthew Pressland
Cluster algebra structures for Grassmannians and their (open) positroid strata are controlled by a Postnikov diagram D or, equivalently, a dimer model on the disc, as encoded by ei…
Categorification and the quantum Grassmannian
Bernt Tore Jensen, Alastair King, Xiuping Su
In \cite{JKS} we gave an (additive) categorification of Grassmannian cluster algebras, using the category $\CM(A)$ of Cohen-Macaulay modules for a certain Gorenstein order . In…
Decomposing the Tube Category
Leonard Hardiman, Alastair King
The tube category of a modular tensor category is a variant of the tube algebra, first introduced by Ocneanu. As a category, it can be decomposed in two different, but related, sen…
Cluster exchange groupoids and framed quadratic differentials
Alastair King, Yu Qiu
We introduce the cluster exchange groupoid associated to a non-degenerate quiver with potential, as an enhancement of the cluster exchange graph. In the case that arises from an (u…
Labelled seeds and the mutation group
Alastair King, Matthew Pressland
We study the set S of labelled seeds of a cluster algebra of rank n inside a field F as a homogeneous space for the group M_n of (globally defined) mutations and relabellings. Regu…