Lie algebras of derivations with large abelian ideals.

Authors

  • I. Klimenko Department of Mechanics and Mathematics, Taras Shevchenko National University of Kyiv, Kyiv, Ukraine
  • S. Lysenko Department of Mechanics and Mathematics, Taras Shevchenko National University of Kyiv, Kyiv, Ukraine
  • A. Petravchuk Department of Mechanics and Mathematics, Taras Shevchenko National University of Kyiv, Kyiv, Ukraine

Keywords:

Lie algebra, polynomial ring, derivation, rank of algebra, general affine Lie algebra

Abstract

Lie algebras of derivations with large abelian ideals.

References

A. Gonz.alez-L.opez A., N. Kamran N., P.J. Olver, Lie algebras of differential operators in two complex variables, Amer. J. Math. – 1992. – 114. – P.1163–1185.

S. Lie, Theorie der Transformationsgruppen, v.3, Leipzig, 1893.

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

Ie.Chapovskyi, D.Efimov, A.Petravchuk, Solvable Lie algebras of derivations of polynomial rings in three variables, Applied problems of Mechanics and Mathematics. - Lviv, 2018, issue. 16. - P.7-13.

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