3 papers
math.AT2021
Spin structures on Hantzsche-Wendt manifolds
Rafał Lutowski, Jerzy Popko, Andrzej Szczepański
Using a combinatorial description of Stiefel-Whitney classes of closed flat manifolds with diagonal holonomy representation, we show that no Hantzsche-Wendt manifold of dimension g…
math.GR2020
Flat manifolds with holonomy representation of quaternionic type
Gerhard Hiss, Rafał Lutowski, Andrzej Szczepański
We are interested in the question of the existence of flat manifolds for which all -irreducible components of the holonomy representation are either absolutely irreducib…
math.RA2019
Retractability of solutions to the Yang-Baxter equation and -nilpotency of skew braces
E. Acri, R. Lutowski, L. Vendramin
Using Bieberbach groups we study multipermutation involutive solutions to the Yang-Baxter equation. We use a linear representation of the structure group of an involutive solution…