3 papers
math.QA2026
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…
math.CO2025
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…
math.CO2025
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…