4 citations · 10 across the 5 of their papers we have counts for
6 papers
Stretched non-positive Weyl connections on solvable Lie groups
Maciej Bochenski, Piotr Jastrzebski, Aleksy Tralle
We determine the structure of solvable Lie groups endowed with invariant stretched non-positive Weyl connections and find classes of solvable Lie groups admitting and not admitting…
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…
Homogeneous spaces of real simple Lie groups with proper actions of non virtually abelian discrete subgroups: a calculational approach
Maciej Bochenski, Piotr Jastrzebski, Aleksy Tralle
Let G be a simple non-compact linear connected Lie group and H be a closed non-compact semisimple subgroup. We are interested in finding classes of homogeneous spaces G/H admitting…
Non-existence of standard compact Clifford-Klein forms of homogeneous spaces of exceptional Lie groups
Maciej Bochenski, Piotr Jastrzebski, Aleksy Tralle
We use a computer-aided approach to prove that there are no standard compact Clifford-Klein forms of homogeneous spaces of exceptional Lie groups. This yields further support for K…
Semisimple subalgebras in simple Lie algebras and a computational approach to the compact Clifford-Klein forms problem
Maciej Bocheński, Piotr Jastrzębski, Anna Szczepkowska +2
In this paper we develop algorithms of finding homogeneous spaces of semisimple non-compact Lie groups which do not admit compact Clifford-Klein forms. We propose a computer progra…
Proper SL(2,R)-actions on homogeneous spaces
Maciej Bochenski, Piotr Jastrzebski, Takayuki Okuda +1
We study the existence problem of proper actions of SL(2,R) on homogeneous spaces G/H of reductive type. Based on Kobayashi's properness criterion [Math. Ann. (1989)], we show that…