Non-virtually abelian discontinuous group actions vs. proper SL(2,R)-actions on homogeneous spaces
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866913367304699904 |
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| author | Bochenski, Maciej de Graaf, Willem A. Jastrzebski, Piotr Tralle, Aleksy |
| author_facet | Bochenski, Maciej de Graaf, Willem A. Jastrzebski, Piotr Tralle, Aleksy |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_01069 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Non-virtually abelian discontinuous group actions vs. proper SL(2,R)-actions on homogeneous spaces Bochenski, Maciej de Graaf, Willem A. Jastrzebski, Piotr Tralle, Aleksy Group Theory Representation Theory 17B05, 17B10, 53C30, 57S25 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. |
| title | Non-virtually abelian discontinuous group actions vs. proper SL(2,R)-actions on homogeneous spaces |
| topic | Group Theory Representation Theory 17B05, 17B10, 53C30, 57S25 |
| url | https://arxiv.org/abs/2206.01069 |