SL_2-Tilings Do Not Exist in Higher Dimensions (mostly)

Laurent Demonet, Pierre-Guy Plamondon, Dylan Rupel +2

We define a family of generalizations of ${\mathrm{SL}}_2$-tilings to higher dimensions called $\mathbf{\epsilon }$-${\mathrm{SL}}_2$-tilings. We show that, in each dimension 3 o…