PreprintCC BY 4.0arXiv
Lie groups are countably representable
Abstract
We prove that every Lie group can be realized by permutations of a countable set, answering a classical question of Ulam. The key deformation construction originated in an argument produced by OpenAI's GPT 6 Astra during extended mathematical discussions.
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BibTeX
@misc{monod2026groups,
title = {{Lie groups are countably representable}},
author = {Nicolas Monod and Andreas Thom},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.18464},
eprint = {2610.18464},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.18464},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Lie groups are countably representable
AU - Nicolas Monod
AU - Andreas Thom
PY - 2026
DA - 2026/10/13
PB - arXiv
DO - 10.48550/arxiv.2610.18464
UR - https://arxiv.org/abs/2610.18464
AB - We prove that every Lie group can be realized by permutations of a countable set, answering a classical question of Ulam. The key deformation construction originated in an argument produced by OpenAI's GPT 6 Astra during extended mathematical discussions.
ER -