7 citations · 40 across the 36 of their papers we have counts for
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Center and derivations of generalized Weyl algebras over
Ruben Mamani-Velasco, Akaki Tikaradze
Let be either a classical generalized Weyl algebra (also known as a noncommutative deformation of type A Kleinian singularity) or the enveloping algebra …
On the category for generalized Weyl algebras
Ruben Mamani Velasco, Akaki Tikaradze
Let be a generalized Weyl algebra associated with a ring , its central element and an automorphism such that for some , is nil…
Rigidity of quantum algebras
Akaki Tikaradze
Given an associative -algebra , we call strongly rigid if for any pair of finite subgroups of its automorphism groups such that , then …
Morita equivalence of deformations of Kleinian singularities
Akaki Tikaradze
In this paper we classify all Morita equivalent pairs of (classical) generalized Weyl algebras for generic values of the parameters, thus positively settling a 30 year old question…
Noncommutative Noether's problem is almost equivalent to the classical Noether's problem
Akaki Tikaradze
Motivated by the classical Noether's problem, J. Alev and F. Dumas proposed the following question, commonly referred to as the noncommutative Noether's problem: Let a finite group…
The inverse Galois problem for Cherednik algebras
Akaki Tikaradze
Given the spherical subalgebra of a rational Cherednik algebra, we aim to classify all finite groups for which there exists a domain on which acts by ring automorph…