A. Tikaradze

collaborators

3 papers

math.QA2026

Center and derivations of generalized Weyl algebras over $Z / p^{n} Z$

Ruben Mamani-Velasco, Akaki Tikaradze

Let $A$ be either a classical generalized Weyl algebra (also known as a noncommutative deformation of type A Kleinian singularity) or the enveloping algebra $U (sl_{2})$ …

math.QA2025

On the category $O$ for generalized Weyl algebras

Ruben Mamani Velasco, Akaki Tikaradze

Let $H (R, I ¨ , z)$ be a generalized Weyl algebra associated with a ring $R$ , its central element $z \in Z (R)$ and an automorphism $I ¨ ,$ such that for some $l \geq 1$ , $I ¨ ^{l} (z) - z$ is…

math.QA2025

Rigidity of quantum algebras

Akaki Tikaradze

Given an associative $C$ -algebra $A$ , we call $A$ strongly rigid if for any pair of finite subgroups of its automorphism groups $G, H,$ such that $A^{G} ≅ A^{H}$ , then $G$ …

Center and derivations of generalized Weyl algebras over Z/pnZ

On the category O for generalized Weyl algebras

Rigidity of quantum algebras

Center and derivations of generalized Weyl algebras over $Z / p^{n} Z$

On the category $O$ for generalized Weyl algebras