| Autor: |
Conversano, Annalisa, Monod, Nicolas |
| Rok vydání: |
2023 |
| Předmět: |
|
| Zdroj: |
Journal of Algebra 640 (2024) 106-116 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1016/j.jalgebra.2023.11.006 |
| Popis: |
Ulam asked whether all Lie groups can be represented faithfully on a countable set. We establish a reduction of Ulam's problem to the case of simple Lie groups. In particular, we solve the problem for all solvable Lie groups and more generally Lie groups with a linear Levi component. It follows that every amenable locally compact second countable group acts faithfully on a countable set. |
| Databáze: |
arXiv |
| Externí odkaz: |
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