19 citations · 26 across the 6 of their papers we have counts for
6 papers
On maximal extensions of nilpotent Lie algebras
Vladimir V Gorbatsevich
The maximum extensions of finite-dimensional nilpotent Lie algebras are considered. In particular, it is proved that in the general case such an extension is not unique, which refu…
Corrections and additions to my article "Dual and almost-dual homogeneous spaces"
Vladimir Gorbatsevich
There are some inaccuracies and errors in my article "Dual and almost-dual homogeneous spaces". Here I will describe in detail how to correct incorrect statements from this article…
About approximate and dual Lie algebras
Vladimir Gorbatsevich
The Lie algebras over the algebra of dual numbers are introduced and investigated.
Computational experiments with nilpotent Lie algebra
Vladimir Gorbatsevich
In this note we present some experimental results on the general matrix nilpotent Lie algebras derived by calculations on a computer
On some basic properties of Leibniz algebras
V. V. Gorbatsevich
This paper gives an overview of some basic properties of Leibniz algebras. Some of the results were known earlier, but in the article they are accompanied by new simple proofs. Som…
On some examples in Symplectic Topology
V. Gorbatsevich
Article is devoted to the Examples 2 and 3 of the symplectic solvable Lie groups with some special cohomological properties, which have been constructed by Benson and Gordon. B…