Khrystyna Serhiyenko

activity

20142026

most citedCluster structures in Schubert varieties in the Grassmannian

18 citations · 37 across the 22 of their papers we have counts for

collaborators

Showing 2025Show all

3 papers · 1 filter

math.RT2025

Classical tilting and $τ$ -tilting theory via duplicated algebras

Jonah Berggren, Khrystyna Serhiyenko

$τ$ -tilting theory can be thought of as a generalization of the classical tilting theory which allows mutations at any indecomposable summand of a support $τ$ -tilting pair. Indeed,…

math.RT2025

On syzygy categories over Iwanaga-Gorenstein algebras: Reduction, minimality and finiteness

Ralf Schiffler, Khrystyna Serhiyenko

We study 2-Calabi-Yau tilted algebras which are non-commutative Iwanaga-Gorenstein algebras of Gorenstein dimension 1. In particular, we are interested in their syzygy categories o…

math.CO2025

$S L_{k}$ -Tilings and Paths in $Z^{k}$

Zachery Peterson, Khrystyna Serhiyenko

An $S L_{k}$ -tiling is a bi-infinite array of integers having all adjacent $k \times k$ minors equal to one and all adjacent $(k + 1) \times (k + 1)$ minors equal to zero. Introduced and st…

Classical tilting and τ-tilting theory via duplicated algebras

On syzygy categories over Iwanaga-Gorenstein algebras: Reduction, minimality and finiteness

SLk​-Tilings and Paths in Zk

Classical tilting and $τ$ -tilting theory via duplicated algebras

$S L_{k}$ -Tilings and Paths in $Z^{k}$