Affine spherical homogeneous spaces with good quotient by a maximal unipotent subgroup

For an affine spherical homogeneous space G/H of a connected semisimple algebraic group G, we consider the factorization morphism by the action on G/H of a maximal unipotent subgroup of G. We prove that this morphism is equidimensional if and only if the weight semigroup of G/H satisfies some simple condition.Comment: v2: title and abstract changed; v3: 16 pages, minor correction

Spherical actions on flag varieties

For every finite-dimensional vector space V and every V-flag variety X we list all connected reductive subgroups in GL(V) acting spherically on X

Ruling out an inflation driven by kinetic coupling

We demonstrate that the latest constraints on inflationary observables, namely the tensor-to-scalar ratio $r$ and the scalar spectral index $n_{_S}$, from the Cosmic Background Radiation (CMB) observations are already strong enough to rule out the model of a scalar field kinetically coupled to gravity with a positive coupling constant and a power law potential. The case for a negative coupling constant needs special treatment.Comment: 5 pages with 1 eps figure; minor changes, references adde

RadioAstron probes the ultra-fine spatial structure in the H2_2O maser emission in the star forming region W49N

H$_2$O maser emission associated with the massive star formation region W49N were observed with the Space-VLBI mission RadioAstron. The procedure for processing of the maser spectral line data obtained in the RadioAstron observations is described. Ultra-fine spatial structures in the maser emission were detected on space-ground baselines of up to 9.6 Earth diameters. The correlated flux densities of these features range from 0.1% to 0.6% of the total flux density. These low values of correlated flux density are probably due to turbulence either in the maser itself or in the interstellar medium.Comment: Accepted for publication in Advances in Space Researc

Легитимность и легитимация российской публичной власти

The subject. The article is devoted to the legal analysis of the legitimacy of the activities of public authorities and the process of their legitimation in the Russian Federation, as well as other problems of national democracy. The legal understanding of the concept of "people" as the only source of power and the bearer of sovereignty is considered, a distinction is made between these properties.The purpose of the article is to identify its essential features the category of legitimacy, identify problems related to the reflection of the political will of Russian citizens in the organization and activities of state authorities and local self-government. The purpose of the article is to substantiate also the differences in the characteristics of the people as the only source of power and the bearer of sovereignty, which has a significant impact on the processes of legitimation of public authorities in the Russian Federation.The research methodology consists of general scientific methods (analysis, synthesis, dialectics) and legal methods (formal-logical, comparative-legal, historical-legal, forecasting method).The main results and their area of application. The author considers legitimacy not only as the consent of the people with the normative legal acts adopted by public authorities, but also as universal approval and recognition of their organizational activities, expressed by citizens through the institutions of direct democracy. The legitimacy of public authority is an attribute of a constitutional state with a social orientation. The article notes a few features characteristic of the domestic process of legitimizing public authority. The procedure for the formation of the Federation Council of the Federal Assembly, in which Russian citizens do not participate directly, starting from 1995 to the present. The cancellation and return of direct elections of heads of constituent entities of the Russian Federation, the impossibility of electing the heads of municipalities directly by the population (in many cases). A complicated procedure for the implementation of active and passive electoral rights in the Russian Federation, expressed in the establishment of several formal require ments. Constant changes in electoral legislation before election campaigns are among these characteristics.Conclusions. The results of research are summarized and conclusions are drawn about the current state of legitimacy in the Russian Federation. A few measures are proposed to improve the process of legitimizing public authority. The author proposes to distinguish between the legal characteristics of the people as the bearer of sovereignty, understanding by it all Russian citizens and as the only source of power, which is formed by the voters.Исследуется легитимность как свойство публичной власти, анализируется процесс легитимации деятельности органов публичной власти в Российской Федерации, в связи с чем выделяется ряд ее характерных особенностей. Рассматривается юридическое понимание народа как источника власти и носителя суверенитета. Выделяются основные проблемы обеспечения легитимности деятельности органов государственной власти и местного самоуправления в Российской Федерации и предлагаются меры, направленные на их решение