Non-virtually abelian discontinuous group actions vs. proper SL(2,R)-actions on homogeneous spaces
Group Theory
2024-05-30 v4 Representation Theory
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.
Keywords
Cite
@article{arxiv.2206.01069,
title = {Non-virtually abelian discontinuous group actions vs. proper SL(2,R)-actions on homogeneous spaces},
author = {Maciej Bochenski and Willem A. de Graaf and Piotr Jastrzebski and Aleksy Tralle},
journal= {arXiv preprint arXiv:2206.01069},
year = {2024}
}
Comments
revised version, to appear in Experimental Mathematics