On the spectral theory of groups of affine transformations of compact nilmanifolds

Bachir Bekka, Yves Guivarc'h

Let $N$ be a connected and simply connected nilpotent Lie group, $\Lambda$ a lattice in $N$, and $X=N/\Lambda$ the corresponding nilmanifold. Let $Aff(X)$ be the group of affine transformation…