Showing 2020Show all
4 papers · 1 filter
math.CO2020
Hilbert quasipolynomials and their roots
Seungjai Lee
We investigate the roots of Hilbert quasipolynomials arising from certain rational generating functions.
math.GR2020
Normal zeta functions of small -groups and their behaviour on residue classes
Seungjai Lee
Let be a finitely generate nilpotent class-2 torsion-free group. We study how the zeta function enumerating normal subgroups of G varies on residue classes. In particular, we s…
math.RA2020
Zeta functions of -Lie algebras and finite -groups
Seungjai Lee
We study zeta functions enumerating subalgebras or ideals of Lie algebras over finite field of prime order . We first develop a general blueprint method for computing…
math.RA2020
Zeta functions of integral nilpotent quiver representations
Seungjai Lee, Christopher Voll
We introduce and study multivariate zeta functions enumerating subrepresentations of integral quiver representations. For nilpotent such representations defined over number fields,…