7 citations · 40 across the 36 of their papers we have counts for
44 papers
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…
Morita equivalence problem for symplectic reflection algebras
Akaki Tikaradze
In this paper we fully solve the Morita equivalence problem for symplectic reflection algebras associated to direct products of finite subgroups of . Namely, give…
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 …
Recovering affine-linearity of functions from their restrictions to affine lines
Apoorva Khare, Akaki Tikaradze
Motivated by recent results of Tao-Ziegler [Discrete Anal. 2016] and Greenfeld-Tao (2022 preprint) on concatenating affine-linear functions along subgroups of an abelian group, we…
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…