Seungjai Lee

activity

20162026

collaborators

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5 papers · 1 filter

math.RA2026

Zeta functions of solvable Lie algebras over finite fields -- with calculations in detail

Seungjai Lee

Let $L$ be a solvable Lie algebra of dimension less than or equal to 4 over finite fields. We compute and record, in explicit symbolic form, the zeta functions enumerating subalgeb…

math.RA2022

Uniformity in Higher class Free Lie algebras

Marcus du Sautoy, Seungjai Lee

Let $f_{c, 2}$ denote a free class- $c$ Lie rings on $2$ generators. We investigate the zeta functions enumerating graded ideals in $f_{c, 2} (F_{p})$ for…

math.RA2020

Zeta functions of $F_{p}$ -Lie algebras and finite $p$ -groups

Seungjai Lee

We study zeta functions enumerating subalgebras or ideals of Lie algebras over finite field of prime order $F_{p}$ . 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,…

math.RA2016

Enumerating graded ideals in graded rings associated to free nilpotent Lie rings

Seungjai Lee, Christopher Voll

We compute the zeta functions enumerating graded ideals in the graded Lie rings associated with the free $d$ -generator Lie rings $f_{c, d}$ of nilpotency class $c$ for al…

Zeta functions of solvable Lie algebras over finite fields -- with calculations in detail

Uniformity in Higher class Free Lie algebras

Zeta functions of Fp​-Lie algebras and finite p-groups

Zeta functions of integral nilpotent quiver representations

Enumerating graded ideals in graded rings associated to free nilpotent Lie rings

Zeta functions of $F_{p}$ -Lie algebras and finite $p$ -groups