Darius Dramburg

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20242026

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math.RT2026

$2$ -representation infinite algebras from non-abelian subgroups of $SL_{3}$ . Part II: Central extensions and exceptionals

Darius Dramburg

Let $G \leq SL_{3} (C)$ be a non-trivial finite group, acting on $R = C [x_{1}, x_{2}, x_{3}]$ . We continue our investigation from arXiv:2505.10683 [math.RT]…

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.RT2025

On compatibility of Koszul- and higher preprojective gradings

Darius Dramburg, Mads Hustad SandÃ¸y

We investigate compatibility of gradings for an almost Koszul or Koszul algebra $R$ that is also the higher preprojective algebra $I^_{n + 1} (A)$ of an $n$ -hereditary algebra $A$ . Fo…

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…

math.RT2024

The 3-Preprojective Algebras Of Type $A ~ $

Darius Dramburg, Oleksandra Gasanova

Let $G \leq SL_{n + 1} (C)$ act on $R = C [X_{1}, \dots, X_{n + 1}]$ by change of variables. Then, the skew-group algebra $R * G$ is bimodule $(n + 1)$ -C…

2-representation infinite algebras from non-abelian subgroups of SL3​. Part II: Central extensions and exceptionals

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

On compatibility of Koszul- and higher preprojective gradings

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

The 3-Preprojective Algebras Of Type A~

$2$ -representation infinite algebras from non-abelian subgroups of $SL_{3}$ . Part II: Central extensions and exceptionals

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

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

The 3-Preprojective Algebras Of Type $A ~ $