18 citations · 27 across the 4 of their papers we have counts for
4 papers
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 and a pointed Hopf algebra which quantize the coordinat…
Lifting free modules to generalized Weyl algebras
Samuel A. Lopes, Jonathan Nilsson
We study modules over a generalized Weyl algebra which are free when restricted to the base ring . When is an integral domain, we construct all such finite-rank mod…
The geometric classification of nilpotent algebras
Ivan Kaygorodov, Mykola Khrypchenko, Samuel A. Lopes
We give a geometric classification of -dimensional nilpotent, commutative nilpotent and anticommutative nilpotent algebras. We prove that the corresponding geometric varieties a…
The algebraic classification of nilpotent algebras
Ivan Kaygorodov, Mykola Khrypchenko, Samuel A. Lopes
We give the complete algebraic classification of all complex 4-dimensional nilpotent algebras. The final list has 234 (parametric families of) isomorphism classes of algebras, 66 o…