Laertis Vaso

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20202024

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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.RT2021

$n$ -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.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…

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

τd​-tilting theory for linear Nakayama algebras

n-cluster tilting subcategories for radical square zero algebras

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

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

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

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