Mathematics is like an ever-growing tree. Now, 2300 years after Euclid of Alexandria, it has
become too big for a student to even picture a small branch, not mentioning to see its trunks …

The article studies (locally) holomorphically homogeneous real hypersurfaces of complex
spaces. Currently, the problem of classifying such hypersurfaces is completely solved only in …

For a finite dimensional Lie algebra with basis {𝑋 1,..., 𝑋 𝑛} we define the characteristic
polynomial with respect to the adjoint representation using matrix representatives as det (𝑧 …

In this paper we construct the optimal sets of dissimilar subalgebras up to dimension three
for the Lie algebra of point symmetries of the system of three-dimensional stationary …

In this paper, we consider exponential, connected and simply connected Lie groups which
are corresponding to seven-dimensional Lie algebras such that their nilradical is a five …

В связи с задачей описания голоморфно однородных вещественных
гиперповерхностей в C4 в статье изучаются 7-мерные орбиты вещественных алгебр …

This paper is related to the problem of describing homogeneous real hypersurfaces of
multidimensional complex spaces as orbits of the action of Lie groups and algebras in these …

Another fertile field to explore the link between algebraic relations of the matrices and the
properties of their characteristic polynomial is where the matrices form a basis for a finite …

Статья связана с задачей описания ростков голоморфно однородных вещественных
гиперповерхностей комплексного пространства 4 (случаи пространств 2 и 3 изучены в …

We consider connected and simply connected seven-dimensional Lie groups whose Lie
algebras have nilradical \frakg_5,2 of Dixmier. First, we give geometric descriptions of the …