3 papers
math.DG2025
Differential smoothness of bi-quadratic algebras with PBW basis
Andrés Rubiano, Armando Reyes
We investigate the differential smoothness of bi-quadratic algebras with PBW basis.
math.RA2024
Smooth geometry of double extension regular algebras of type (14641)
Andrés Rubiano, Armando Reyes
In this paper, we prove that double extension regular algebras of type (14641) are not differentially smooth.
math.DG2024
Smooth geometry of bi-quadratic algebras on three generators with PBW basis
Andrés Rubiano, Armando Reyes
In this paper, we investigate the differential smoothness of bi-quadratic algebras on three generators with PBW basis.