There are reductive homogeneous spaces admitting proper actions of cocompact lattices of O(n,1) for n=2,3,4 while admitting no proper action of a non-compact semisimple subgroup.
Non-virtually abelian discontinuous group actions vs. proper SL(2,R)-actions on homogeneous spaces
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
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 examples of non-virtually abelian discontinuous group actions on homogeneous spaces which do not admit proper SL(2,R)-actions.
fields
math.GR 1years
2025 1verdicts
ACCEPT 1representative citing papers
citing papers explorer
-
Exotic proper actions on homogeneous spaces via convex cocompact representations
There are reductive homogeneous spaces admitting proper actions of cocompact lattices of O(n,1) for n=2,3,4 while admitting no proper action of a non-compact semisimple subgroup.