3 papers
math.AT2021
Path homology of directed hypergraphs
Yuri Muranov, Anna Szczepkowska, Vladimir Vershinin
We describe various path homology theories constructed for a directed hypergraph. We introduce the category of directed hypergraphs and the notion of a homotopy in this category. A…
math.RT2018
Semisimple subalgebras in simple Lie algebras and a computational approach to the compact Clifford-Klein forms problem
Maciej Bocheński, Piotr Jastrzębski, Anna Szczepkowska +2
In this paper we develop algorithms of finding homogeneous spaces of semisimple non-compact Lie groups which do not admit compact Clifford-Klein forms. We propose a computer progra…
math.DG2016
On a classification of fat bundles over compact homogeneous spaces
Maciej Bochenski, Anna Szczepkowska, Aleksy Tralle +1
This article deals with fat bundles. Berard-Bergery classified all homogeneous bundles of that type. We ask a question of a possibility to generalize his description in the case of…