Oleksandra Gasanova

activity

20242026

collaborators

4 papers

math.RT2026

$2$ -representation infinite algebras from non-abelian subgroups of $SL_{3}$ . Part I: Extensions of abelian groups

Darius Dramburg, Oleksandra Gasanova

Let $G \leq SL_{3} (C)$ be a non-trivial finite group, acting on $R = C [x_{1}, x_{2}, x_{3}]$ . The resulting skew-group algebra $R * G$ is $3$ -Calabi-Yau…

math.AC2025

Invariants of toric double determinantal rings

Jennifer Biermann, Emanuela De Negri, Oleksandra Gasanova +2

We study a class of double determinantal ideals denoted $I_{mn}^{r}$ , which are generated by minors of size 2, and show that they are equal to the Hibi rings of certain finite distri…

math.AC2024

On the Rees algebras of $t$ -path ideals of cycles

Oleksandra Gasanova, JÃ¼rgen Herzog, Jiawen Shan

In this paper we explore certain properties of the Rees algebra of $I_{t} (C_{n})$ , the $t$ -path ideal of an $n$ -cycle. Our main focus is on the cases when such ideals are of fiber type…

math.RT2024

A classification of $n$ -representation infinite algebras of type Ã

Darius Dramburg, Oleksandra Gasanova

We classify $n$ -representation infinite algebras $I^$ of type Ã. This type is defined by requiring that $I^$ has higher preprojective algebra $Î _{n+1}(Î) \simeq k[x_1, \ldots, x…

2-representation infinite algebras from non-abelian subgroups of SL3​. Part I: Extensions of abelian groups

Invariants of toric double determinantal rings

On the Rees algebras of t-path ideals of cycles

A classification of n-representation infinite algebras of type Ã

$2$ -representation infinite algebras from non-abelian subgroups of $SL_{3}$ . Part I: Extensions of abelian groups

On the Rees algebras of $t$ -path ideals of cycles

A classification of $n$ -representation infinite algebras of type Ã