A unifying overview of the ways to parameterize the linear group GL (4. C) and its subgroups
is given. As parameters for this group there are taken 16 coefficients G= G (A, B, A k, Bk, Fkl) …

Построена система точных решений уравнения Шредингера в 3-мерном пространстве
Лобачевского в системе квазидекартовых координат. Показано, что поставленная в …

The basic relations defining the vector parametrization of the complex Lorentz group SO (4.
C) and its subgroups are presented. The main attractive properties of this parametrization …

A unifying overview of the ways to parameterize the linear group GL (4. C) and its subgroups
is given. As parameters for this group there are taken 16 coefficients G= G (A, B, A_ {k}, B …

The aim of the article to clarify the status of Shapiro plane wave solutions of the Schr\"
odinger's equation in the frames of the well-known general method of separation of …

The quaternion algebra over the field of complex numbers is used for the realization of
transformations from the de Sitter groups SO (4, 1) and SO (3, 2) by the two-row natrices …

In the paper complete systems of exact solutions for Dirac and Weyl equations in the
Lobachevsky space are constructed on the base of the method of separation of the variables …

The Duffin-Kemmer form of massless vector field (Maxwell field) is extended to the case of
arbitrary pseudo-Riemannian space-time in accordance with the tetrad recipe of Tetrode …

In the light of the Howe duality, two different, but isomorphic representations of one algebra
as Higgs algebra and Hahn algebra are considered in this article. The first algebra …

The algebraic and geometrical approaches to the special relativity have been combined on
the basis of the relation between the biquaternion algebra and the geometry of …