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PreprintCC BY 4.0arXiv

A Non-linearizable Action of S3 on Free Metabelian Lie and Associative Algebras

  • Altyngul Naurazbekova
  • Ualbai Umirbaev
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Abstract

Let M be the free metabelian Lie algebra of rank $4$ over the field of complex numbers ℂ. We construct a non-linearizable action of the symmetric group S3, the smallest nonabelian group, on M by automorphisms. We also construct a non-linearizable action of S3 on free metabelian associative algebras of rank $4$.

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Cite

BibTeXRIS
BibTeX
@misc{naurazbekova2026nonlinearizable,
  title = {{A Non-linearizable Action of $S_3$ on Free Metabelian Lie and Associative Algebras}},
  author = {Altyngul Naurazbekova and Ualbai Umirbaev},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.26060},
  eprint = {2610.26060},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.26060},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - A Non-linearizable Action of S_3 on Free Metabelian Lie and Associative Algebras
AU  - Altyngul Naurazbekova
AU  - Ualbai Umirbaev
PY  - 2026
DA  - 2026/10/19
PB  - arXiv
DO  - 10.48550/arxiv.2610.26060
UR  - https://arxiv.org/abs/2610.26060
AB  - Let M be the free metabelian Lie algebra of rank $4$ over the field of complex numbers ℂ. We construct a non-linearizable action of the symmetric group S_3, the smallest nonabelian group, on M by automorphisms. We also construct a non-linearizable action of S_3 on free metabelian associative algebras of rank $4$.
ER  -