On finite dimensional Lie algebras of planar vector fields with rational coefficients

Authors

  • A. P. Petravchuk Kyiv Taras Shevchenko University, 64 Volodymyrs'ka, Kyiv, 01601, Ukraine
  • Ie. Makedonskyi Kyiv Taras Shevchenko University, 64 Volodymyrs'ka, Kyiv, 01601, Ukraine 

DOI:

Keywords:

Lie algebra, vector field, derivation, finite dimensional subalgebra

Abstract

The Lie algebra of planar vector fields with coefficients from the field of rational functions over an algebraically closed field of characteristic zero is considered. We find all finite-dimensional Lie algebras that can be realized as subalgebras of this algebra.

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Published

2013-12-25

Issue

Vol. 19 No. 4 (2013)

Section

Articles

How to Cite

Petravchuk, A. P., and Ie. Makedonskyi. “On Finite Dimensional Lie Algebras of Planar Vector Fields With Rational Coefficients”. Methods of Functional Analysis and Topology, vol. 19, no. 4, Dec. 2013, pp. 376-88, https://zen.imath.kiev.ua/index.php/mfat/article/view/560.