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Semisimple Algebras of Vector Fields on $\mathbb{C}^{3}$

Representation Theory 2024-04-04 v1

Abstract

A local classification of semisimple algebras of vector fields on C3\mathbb{C}^{3} is given, using the canonical forms of the Heisenberg algebra and of sl(2,C)×sl(2,C)sl(2,\mathbb{C})\times sl(2,\mathbb{C}).

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Cite

@article{arxiv.2404.02847,
  title  = {Semisimple Algebras of Vector Fields on $\mathbb{C}^{3}$},
  author = {Sajid Ali and Hassan Azad and Indranil Biswas and Fazal M. Mahomed and Said Waqas Shah},
  journal= {arXiv preprint arXiv:2404.02847},
  year   = {2024}
}
R2 v1 2026-06-28T15:43:11.930Z