43 citations · 100 across the 18 of their papers we have counts for
21 papers
Leibniz algebras and graphs
Elisabete Barreiro, Antonio J. Calderón, Samuel Lopes +1
We consider a Leibniz algebra over an arbitrary base field , being the ideal generated by the produ…
Representations of Smith algebras which are free over the Cartan subalgebra
Vyacheslav Futorny, Samuel A. Lopes, Eduardo M. Mendonça
In this paper, we study the category of modules over the Smith algebra which are free of finite rank over the unital polynomial subalgebra generated by the Cartan element and o…
Noncommutative Algebra and Representation Theory: Symmetry, Structure & Invariants
Samuel A. Lopes
This is an abridged version of our Habilitation thesis. In these notes, we aim to summarize our research interests and achievements as well as motivate what drives our work: symmet…
A Deleting Derivations Algorithm for Quantum Nilpotent Algebras at Roots of Unity
Stéphane Launois, Samuel A. Lopes, Alexandra Rogers
This paper extends an algorithm and canonical embedding by Cauchon to a large class of quantum algebras. It applies to iterated Ore extensions over a field satisfying some suitable…
Structure and isomorphisms of quantum generalized Heisenberg algebras
Samuel A. Lopes, Farrokh Razavinia
In [14] we introduced a new class of algebras, which we named \textit{quantum generalized Heisenberg algebras} and which depend on a parameter and two polynomials . We hav…
Quantum generalized Heisenberg algebras and their representations
Samuel A. Lopes, Farrokh Razavinia
We introduce and study a new class of algebras, which we name \textit{quantum generalized Heisenberg algebras} and denote by , related to generalized Heisenber…