4 citations · 8 across the 7 of their papers we have counts for
7 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…
Lorentzian polynomials and the independence sequences of graphs
Amire Bendjeddou, Leonard Hardiman
We study the multivariate independence polynomials of graphs and the log-concavity of the coefficients of their univariate restrictions. Let be the operator defined on si…
Partition identities from higher level crystals of
Jehanne Dousse, Leonard Hardiman, Isaac Konan
We study perfect crystals for the standard modules of the affine Lie algebra at all levels using the theory of multi-grounded partitions. We prove a family of partition…
Graphical characterization of modular invariance
Leonard Hardiman
For a given modular tensor category we study representations of the corresponding tube category whose isomorphism classes are modular invariant matrices. In particular, we provide…
Extending the trace of a pivotal monoidal functor
Leonard Hardiman
We consider a pivotal monoidal functor whose domain is a modular tensor category (MTC). We show that the trace of such a functor naturally extends to a representation of the corres…
A graphical approach to the Drinfeld centre
Leonard Hardiman
Let be a spherical fusion category. The goal of this article is to present the tube category of , denoted , as giving an alternative graphi…
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…