Samuel A. Lopes

activity

20202025

most citedThe algebraic classification of nilpotent algebras

18 citations · 27 across the 4 of their papers we have counts for

collaborators

Showing 2025Show all

2 papers · 1 filter

math.QA2025

Quantum upper triangular matrix algebras

Érica Z. Fornaroli, Mykola Khrypchenko, Samuel A. Lopes +1

Following the ideas in~\cite{yM88}, \cite{T90} and inspiration from~\cite{KO24}, we construct a bialgebra $T_{q} (n)$ and a pointed Hopf algebra $U T_{q} (n)$ which quantize the coordinat…

math.RT2025

Lifting free modules to generalized Weyl algebras

Samuel A. Lopes, Jonathan Nilsson

We study modules over a generalized Weyl algebra $R (σ, a)$ which are free when restricted to the base ring $R$ . When $R$ is an integral domain, we construct all such finite-rank mod…