45 citations · 249 across the 30 of their papers we have counts for
30 papers · 1 filter
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…
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…
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…
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…
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…
Infinitesimal semi-invariant pictures and co-amalgamation
Eric J. Hanson, Kiyoshi Igusa, Moses Kim +1
The purpose of this paper is to study the local structure of the semi-invariant picture of a tame hereditary algebra near the null root. Using a construction that we call co-amalga…