3 papers
math.GR2026
Symplectic lattice counting and zeta functions of higher Heisenberg groups
Jianhao Shen, Christopher Voll
We derive explicit formulae for the subalgebra zeta functions of all higher Heisenberg Lie algebras over an arbitrary compact discrete valuation ring . To this end, w…
math.CO2025
Symplectic Hecke eigenbases from Ehrhart polynomials
Claudia Alfes, Joshua Maglione, Christopher Voll
For and , we consider the function extracting the th coefficient of the Ehrhart polynomials of lattice polytopes in . T…
math.CO2025
Hall-Littlewood polynomials, affine Schubert series, and lattice enumeration
Joshua Maglione, Christopher Voll
We introduce multivariate rational generating series called Hall-Littlewood-Schubert () series. They are defined in terms of polynomials related to Hall-Littlewood…