activity
20042026
most citedCluster Complexes via Semi-Invariants

45 citations · 249 across the 30 of their papers we have counts for

collaborators

36 papers

math.RT2026

Balanced notation for -rigid pairs

Kiyoshi Igusa, Gordana Todorov

We introduce a new notation for -rigid pairs called ``balanced pairs''. The notation allows for simplification of some formulas, for example the Jasso category and it…

math.RT2025

Short history of signed exceptional sequences

Kiyoshi Igusa, Gordana Todorov

Whereas exceptional sequences have a long history with many well-known connections to combinatorics, signed exceptional sequences are relatively recent. The authors introduced this…

math.RT2025

Representation theory of hereditary artin algebras of finite representation type

Shiping Liu, Gordana Todorov

Let be a hereditary artin algebra of finite representation type. We first determine all hammocks in the Auslander-Reiten quiver $\GaH$ of $\mmod H$, the category of finitely ge…

math.CO2024

Infinite friezes of affine type D

Karin Baur, Léa Bittmann, Emily Gunawan +2

In this article, we study infinite friezes arising from cluster categories of affine type and determine the growth coefficients for these friezes. We prove that for each affine…

math.RT2024

Defect Invariant Nakayama Algebras

Emre Sen, Gordana Todorov, Shijie Zhu

We show that for a given Nakayama algebra , there exist countably many cyclic Nakayama algebras , where , such that the syzygy filtered algebra of i…

math.RT2022★ 1 cited

Which cluster morphism categories are CAT(0)

Kiyoshi Igusa, Gordana Todorov

The cluster morphism category of an hereditary algebra was introduced in [5] to show that the picture space of an hereditary algebra of finite representation type is a for…