Laertis Vaso

activity

20172024

most cited

n

-cluster tilting subcategories of representation-directed algebras

23 citations · 36 across the 9 of their papers we have counts for

collaborators

9 papers

math.RT2024

Higher homological algebra for one-point extensions of bipartite hereditary algebras and spectral graph theory

Karin M. Jacobsen, Mads Hustad Sandøy, Laertis Vaso

In this article we study higher homological properties of $n$ -levelled algebras and connect them to properties of the underlying graphs. Notably, to each $2$ -representation-finite…

math.RT2024

$τ_{d}$ -tilting theory for linear Nakayama algebras

Endre S. Rundsveen, Laertis Vaso

Support $τ$ -tilting pairs, functorially finite torsion classes and $2$ -term silting complexes are three much studied concepts in the representation theory of finite-dimensional alg…

math.RT2022

$n Z$ -cluster tilting subcategories for Nakayama algebras

Martin Herschend, Sondre Kvamme, Laertis Vaso

$n Z$ -cluster tilting subcategories are an ideal setting for higher dimensional Auslander-Reiten theory. We give a complete classification of $n Z$ -cluster tilting…

math.RT2021★ 1 cited

$n$ -cluster tilting subcategories for radical square zero algebras

Laertis Vaso

We give a characterization of radical square zero bound quiver algebras $k Q / J^{2}$ that admit $n$ -cluster tilting subcategories and $n Z$ -cluster tilting…

math.RT2021★ 2 cited

Existence of a 2-cluster tilting module does not imply finite complexity

René Marczinzik, Laertis Vaso

We give an example of a finite-dimensional algebra with a 2-cluster tilting module and a simple module which has infinite complexity. This answers a question of Erdmann and Holm.

math.RT2020

$n$ -cluster tilting subcategories from gluing systems of representation-directed algebras

Laertis Vaso

We present a new way to construct $n$ -cluster tilting subcategories of abelian categories. Our method takes as input a direct system of abelian categories $A_{i}$ with cert…

math.RT2018★ 5 cited

Gluing of $n$ -cluster tilting subcategories for representation-directed algebras

Laertis Vaso

Given $n \leq d < \infty$ , we investigate the existence of algebras of global dimension $d$ which admit an $n$ -cluster tilting subcategory. We construct many such examples using repre…

math.RT2017★ 23 cited

$n$ -cluster tilting subcategories of representation-directed algebras

Laertis Vaso

We give a characterization of $n$ -cluster tilting subcategories of representation-directed algebras based on the $n$ -Auslander-Reiten translations. As an application we classify ac…

math.RT2017★ 5 cited

Wide subcategories of $d$ -cluster tilting subcategories

Martin Herschend, Peter Jorgensen, Laertis Vaso

A subcategory of an abelian category is wide if it is closed under sums, summands, kernels, cokernels, and extensions. Wide subcategories provide a significant interface between re…

Higher homological algebra for one-point extensions of bipartite hereditary algebras and spectral graph theory

τd​-tilting theory for linear Nakayama algebras

nZ-cluster tilting subcategories for Nakayama algebras

n-cluster tilting subcategories for radical square zero algebras

Existence of a 2-cluster tilting module does not imply finite complexity

n-cluster tilting subcategories from gluing systems of representation-directed algebras

Gluing of n-cluster tilting subcategories for representation-directed algebras

n-cluster tilting subcategories of representation-directed algebras

Wide subcategories of d-cluster tilting subcategories

$τ_{d}$ -tilting theory for linear Nakayama algebras

$n Z$ -cluster tilting subcategories for Nakayama algebras

$n$ -cluster tilting subcategories for radical square zero algebras

$n$ -cluster tilting subcategories from gluing systems of representation-directed algebras

Gluing of $n$ -cluster tilting subcategories for representation-directed algebras

$n$ -cluster tilting subcategories of representation-directed algebras

Wide subcategories of $d$ -cluster tilting subcategories