Finite dimensional representations of the rational Cherednik algebra for G4G_4

In this paper, we study representations of the rational Cherednik algebra associated to the complex reflection group $G_4$. In particular, we classify the irreducible finite dimensional representations and compute their characters.Comment: 21 pages, 1 figur

Analysis of the Economic and Environmental Policy of Ukrainian Defence Industry Enterprises

Introduction. The regulation of economic and environmental impacts of the entire military-industrial complex is a cross-sectoral and international problem. At the same time, research in this area is rather fragmented, which reduces the effectiveness of systematic reviews of the security and defence sector in the context of the green economy. The relevance of the issue of greening the defence industry is significantly enhanced by the need to regulate and operate domestic defence industries in the context of the country's military operations. Aim and tasks. The aim of the study is to substantiate the economic mechanism for regulating the greening of enterprises of the defence industry of Ukraine. Results. The economic and environmental security requirements for defence industry enterprises are studied, as the activity of polluting sources of enterprises, including defence enterprises in Ukraine, has generally decreased, in 2021, emissions of pollutants into the atmosphere from stationary sources decreased by 9.0% compared to 2020, to almost 2.2 million tonnes, ammunition was disposed of (235.29 thousand tonnes of ammunition were disposed of from 2014 to 2020) and liquid rocket fuel (16.7 thousand tonnes of melange). In 2021, enterprises, organisations and institutions spent UAH 41.3 billion on environmental protection, compared to UAH 43.7 billion in 2020. Of the total environmental costs in 2021, 68% were current expenses and 32% were capital investments. The strategic directions of greening the defence industry enterprises have been identified, including the introduction of resource-saving technologies, environmental monitoring of environmental impact and reduction of the negative impact of the defence industry units. Conclusion. The realisation of the greening potential will help protect the country's natural resource potential under the influence of the defence industry. A system of measures should be developed to ensure the protection and restoration of natural systems at a certain cost. Given the importance of the defence industry for the country in the context of current external threats and armed conflicts in certain parts of the territory, it is necessary to develop a strategic vision of environmental security with the involvement of all relevant organisations and taking into account the degree of responsibility and motivation for eco-oriented management

Assessment of China’s Macro-Readiness for Integrated Innovative Management Technologies Employment

Introduction. Economic entities should constantly apply various forms of innovation, including managerial and organizational innovations, to ensure the processes of developing and acquiring adaptive capacity. One of these innovations is integrated management technologies covering several interacting heterogeneous technological, economic, organizational, social, and psychological processes or several management functions. Aim and tasks. The study aims to elaborate a procedure for assessing a country’s macro-readiness to apply integrated innovative management technologies and qualitatively characterise its level. Results. An assessment of macro-readiness to apply integrated innovative management technologies was conducted using the case of China. In order to obtain a generalized evaluation of the country’s macro-readiness to apply integrated innovative management technologies, synthetic taxonomic indicators based on readiness components and a general synthetic indicator were generated. The synthetic human capital and research indicator changed from low (0.243) in 2016 to high (0.647) in 2020. The same trend is inherent in the synthetic indicator of ICT availability and use, which increased from 0.367 to 0.920, and in the synthetic indicator of institutional and business environment, which increased from 0.310 to 0.876. Although it has improved from 0.205 to 0.451, the synthetic indicators of financial resources and development have not yet reached a high level. Conclusion. The suggested procedure for assessing macro-readiness to apply integrated innovative management technologies is based on constructing a synthetic indicator of readiness, combining the taxonomic indicators of human, digital, financial, and institutional readiness. This procedure, implying the determination of their qualitative levels, enables us to determine a country’s readiness to support business entities’ adoption of new management technologies. The assessment of China's readiness for applying integrated innovative management technologies using the developed approach revealed that the ICT component is the best developed, while the financial component is the most underdeveloped

КОГНІТИВНЕ МОДЕЛЮВАННЯ РОЗВИТКУ БАНКІВСЬКОЇ СИСТЕМИ УКРАЇНИ

The aim of the study is the analysis of the development of the banking system of Ukraine in the current economic and political conditions and identifying the opportunities of using the cognitive technologies for predicting its development. Methodical research tools include the cognitive modeling, which allows establishing a qualitative relationship between quantitative indicators. Testing of methodological tools was conducted on the example of the Ukrainian banks. It was analyzed the current financial position of the banking system of Ukraine with the help of the indicators of profitability, equity, liquidity, business activity. As a result the substantial worsening of indicators of basic performance of Ukrainian banks was discovered. It was investigated the possibilities of using cognitive models in bank's management for prediction the development of the banking system of Ukraine. It was proposed to use integrated assessment of financial stability of the Ukrainian banking system as a factor that reflects the level of its development. By using cognitive modeling intercommunication of indexes that characterize financial sustainability of Ukrainian banking system was investigated. It was founded that among the indicators of financial sustainability of Ukrainian banking system the most important is an index of correlation of clean open position in foreign currency to the capital. It was proposed to use the results of cognitive analysis in constructing scenarios of development of the banking system of Ukraine.The aim of the study is the analysis of the development of the banking system of Ukraine in the current economic and political conditions and identifying the opportunities of using the cognitive technologies for predicting its development. Methodical research tools include the cognitive modeling, which allows establishing a qualitative relationship between quantitative indicators. Testing of methodological tools was conducted on the example of the Ukrainian banks. It was analyzed the current financial position of the banking system of Ukraine with the help of the indicators of profitability, equity, liquidity, business activity. As a result the substantial worsening of indicators of basic performance of Ukrainian banks was discovered. It was investigated the possibilities of using cognitive models in bank's management for prediction the development of the banking system of Ukraine. It was proposed to use integrated assessment of financial stability of the Ukrainian banking system as a factor that reflects the level of its development. By using cognitive modeling intercommunication of indexes that characterize financial sustainability of Ukrainian banking system was investigated. It was founded that among the indicators of financial sustainability of Ukrainian banking system the most important is an index of correlation of clean open position in foreign currency to the capital. It was proposed to use the results of cognitive analysis in constructing scenarios of development of the banking system of Ukraine.Целью исследования является анализ развития банковской системы Украины в нынешних экономических и политических условиях и выявление возможности использования когнитивных технологий для прогнозирования её развития. Проанализировано текущее финансовое состояние банковской системы Украины, в результате чего выявлено значительное ухудшение показателей деятельности украинских банков. Предложено использовать интегральный показатель финансовой устойчивости украинской банковской системы как фактор, который отражает уровень ее развития. С помощью когнитивного моделирования исследована взаимосвязь показателей, характеризующих финансовую устойчивость банковской системы Украины. Выявлено, что среди этих показателей наиболее влиятельным является показатель соотношения чистой открытой позиции в иностранной валюте к капиталу. Предложено использовать результаты когнитивного анализа при построении сценариев развития банковской системы.Метою дослідження є аналіз розвитку банківської системи України в нинішніх економічних і політичних умовах і виявлення можливості використання когнітивних технологій для прогнозування її розвитку. Проаналізовано поточний фінансовий стан банківської системи України, в результаті чого виявлено значне погіршення показників діяльності українських банків. Запропоновано використовувати інтегральний показник фінансової стійкості української банківської системи як фактор, який відображає рівень її розвитку. За допомогою когнітивного моделювання досліджено взаємозв'язок показників, що характеризують фінансову стійкість банківської системи України. Виявлено, що серед цих показників найбільш впливовим є показник співвідношення чистої відкритої позиції в іноземній валюті до капіталу. Запропоновано використовувати результати когнітивного аналізу при побудові сценаріїв розвитку банківської системи

The nature of the interaction of dimethylselenide with IIIA group element compounds

The first systematic theoretical study of the nature of intermolecular bonding of dimethylselenide as donor and IIIA group element halides as acceptors was made with the help of the approach of Quantum Theory of Atoms in Molecules. Density Functional Theory with "old" Sapporo triple-ζ basis sets was used to calculate geometry, thermodynamics, and wave function of Me 2Se···AX3 complexes. The analysis of the electron density distribution and the Laplacian of the electron density allowed us to reveal and explain the tendencies in the influence of the central atom (A = B, Al, Ga, In) and halogen (X = F, Cl, Br, I) on the nature of Se···A bonding. Significant changes in properties of the selenium lone pair upon complexation were described by means of the analysis of the Laplacian of the charge density. Charge transfer characteristics and the contributions to it from electron localization and delocalization were analyzed in terms of localization and delocalization indexes. Common features of the complexation and differences in the nature of bonding were revealed. Performed analysis evidenced that gallium and indium halide complexes can be attributed to charge transfer-driven complexes; aluminum halides complexes seem to be mainly of an electrostatic nature. The nature of bonding in different boron halides essentially varies; these complexes are stabilized mainly by covalent Se···B interaction. In all the complexes under study covalence of the Se···A interaction is rather high. © 2013 American Chemical Society

Dimethyl selenide complexes with compounds of Group IIIA elements: Electron density redistribution and interaction energy partitioning

Molecular structures of dimethyl selenide complexes with AX3 (A = B, Al, Ga, In; X = H, Me) compounds of Group IIIA elements were calculated by the PBE1PBE/SapporoTZ method. A complex approach to study the nature of interactions is proposed, which involves analysis of electron localization/delocalization characteristics and their influence on charge transfer and energy effects of complexation. It is shown that electron sharing is more important for stabiliza tion of the complexes under study than electrostatic interaction between their fragments. It is demonstrated that analysis of local (topological) characteristics of the electron density distribu tion is insufficient to discover similarity/dissimilarity in the nature of some complexes. The energies of interaction in the complexes under study are mainly composed of the contributions of Se atom as active center of the donor molecule and the entire acceptor molecule. Energy characteristics of local interaction between Se atom and Group IIIA element atom are not representative. © 2014 Springer Science+Business Media, Inc

Selecting a kind of financial innovation according to the level of a bank’s financial soundness and its life cycle stage

This paper presents the recommendations for selecting a kind of financial innovation in a bank based on the results of theoretical research regarding its usage as a tool for ensuring bank financial soundness. The study is aimed at developing an approach to selecting a kind of financial innovation depending on the level of bank financial soundness and the stage of bank life cycle. The existing method of identifying a bank’s life cycle stage in the framework of the developed approach was improved: it was offered to use the criteria of the growth rates of a bank’s market share, total income, staff costs and net cash flow for grouping banks by the stage of their life cycle and conduct two-steps clustering which helps to determine those banks which are on the transitional stages and to refer a bank to a similar group (growth, stabilization and decline). The empirical results of its implementation suggest that there are three groups of Ukrainian banks that vary according to the stage of bank life cycle (growth, stabilization, decline), excepting those institutions which are on the transitional stages. By the example of banks which represent the main characteristics of each cluster, the authors recommend to launch particular kinds of financial innovation in bank operating activity, taking into account the peculiarities of each group. The empirical results confirm the relevance of the developed approach and its value for identifying the current phase of a bank’s development and managing its financial soundness. Keywords: bank financial soundness, bank life cycle stage, cluster analysis, discriminant analysis, Ukraine. JEL Classification: G21, D9