3 papers
math.GR2025
Exotic proper actions on homogeneous spaces via convex cocompact representations
Maciej Bochenski, Yosuke Morita
We construct a series of homogeneous spaces G/H of reductive type which admit proper actions of discrete subgroups of G isomorphic to cocompact lattices of O(n,1) (n=2,3,4) but do…
math.DG2025
A solution of the problem of standard compact Clifford-Klein forms
Maciej Bochenski, Aleksy Tralle
We solve the long standing problem of classification of standard compact Clifford-Klein forms of homogeneous spaces of simple non-compact real Lie groups under the extra assumption…
math.GR2024
Non-virtually abelian discontinuous group actions vs. proper SL(2,R)-actions on homogeneous spaces
Maciej Bochenski, Willem A. de Graaf, Piotr Jastrzebski +1
We develop algorithms and computer programs which verify criteria of properness of discrete group actions on semisimple homogeneous spaces. We apply these algorithms to find new ex…