3 papers
math.RA2025
On Isotropy Groups of Quantum Plane
Adriano De Santana, Rene Baltazar, Robson Vinciguerra +1
This paper investigates the isotropy groups of derivations on the Quantum Plane , defined by the relation , where , with . The ma…
math.RA2024
On Isotropy Groups of Quantum Weyl Algebras and Jordanian Plane
Adriano de Santana, Rene Baltazar, Robson Vinciguerra +1
We study isotropy groups of -derivations of the quantum Weyl algebra and of ordinary derivations of the Jordanian plane. For the quantum Weyl algebra , with no…
math.RA2017
On cyclic essential extensions of simple modules over differential operator rings
Alveri Sant'Ana, Robson Vinciguerra
In this paper we discuss under which conditions cyclic essential extensions of simple modules over a differential operator ring R[z;d] are Artinian. In particular, we study the cas…