Solvable Lie algebras of derivations of rank one.

Authors

  • A. Petravchuk Department of Mechanics and Mathematics, Taras Shevchenko National University of Kyiv, Kyiv, Ukraine
  • K. Sysak Department of Information Systems and Technologies, National Transport University, Kyiv, Ukraine

Keywords:

Lie algebra, polynomial ring, derivation, rank of algebra, Darboux polynomial

Abstract

Solvable Lie algebras of derivations of rank one.

References

I. V. Arzhantsev, E. A. Makedonskii, A. P. Petravchuk, Finite-dimensional subalgebras in polynomial Lie algebras of rank one, Ukrainian Math. Journal 63 (2011), no. 5, 827–832.

Ie. O. Makedonskyi, A. P. Petravchuk, On nilpotent and solvable Lie algebras of derivations, Journal of Algebra 401 (2014), 245–257.

A. Nowicki, Polynomial Derivations and their Rings of Constants, Uniwersytet Mikolaja Kopernika, Torun, 1994.

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