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PreprintarXiv licencearXiv

Algebraic Vector Fields of Connected Semi-simple Matrix Groups are 3-generated

  • Yiyang Jiang
  • Xudong Chen
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Abstract

We show that the Lie algebra of algebraic vector fields for any connected, semi-simple matrix group over 𝔽, for 𝔽=ℝ,ℂ, can be generated by three 𝔽-complete algebraic vector fields.

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Cite

BibTeXRIS
BibTeX
@misc{jiang2026algebraic,
  title = {{Algebraic Vector Fields of Connected Semi-simple Matrix Groups are 3-generated}},
  author = {Yiyang Jiang and Xudong Chen},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.41201},
  eprint = {2610.41201},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.41201},
}
RIS
TY  - UNPB
TI  - Algebraic Vector Fields of Connected Semi-simple Matrix Groups are 3-generated
AU  - Yiyang Jiang
AU  - Xudong Chen
PY  - 2026
DA  - 2026/10/30
PB  - arXiv
DO  - 10.48550/arxiv.2610.41201
UR  - https://arxiv.org/abs/2610.41201
AB  - We show that the Lie algebra of algebraic vector fields for any connected, semi-simple matrix group over 𝔽, for 𝔽=ℝ,ℂ, can be generated by three 𝔽-complete algebraic vector fields.
ER  -