Twisted Frobenius-Schur indicators for Hopf algebras

The classical Frobenius-Schur indicators for finite groups are character sums defined for any representation and any integer m greater or equal to 2. In the familiar case m=2, the Frobenius-Schur indicator partitions the irreducible representations over the complex numbers into real, complex, and quaternionic representations. In recent years, several generalizations of these invariants have been introduced. Bump and Ginzburg, building on earlier work of Mackey, have defined versions of these indicators which are twisted by an automorphism of the group. In another direction, Linchenko and Montgomery have defined Frobenius-Schur indicators for semisimple Hopf algebras. In this paper, the authors construct twisted Frobenius-Schur indicators for semisimple Hopf algebras; these include all of the above indicators as special cases and have similar properties.Comment: 12 pages. Minor revision

Cleft Extensions and Quotients of Twisted Quantum Doubles

Given a pair of finite groups $F, G$ and a normalized 3-cocycle $\omega$ of $G$, where $F$ acts on $G$ as automorphisms, we consider quasi-Hopf algebras defined as a cleft extension $\Bbbk^G_\omega\#_c\,\Bbbk F$ where $c$ denotes some suitable cohomological data. When $F\rightarrow \overline{F}:=F/A$ is a quotient of $F$ by a central subgroup $A$ acting trivially on $G$, we give necessary and sufficient conditions for the existence of a surjection of quasi-Hopf algebras and cleft extensions of the type $\Bbbk^G_\omega\#_c\, \Bbbk F\rightarrow \Bbbk^G_\omega\#_{\overline{c}} \, \Bbbk \overline{F}$. Our construction is particularly natural when $F=G$ acts on $G$ by conjugation, and $\Bbbk^G_\omega\#_c \Bbbk G$ is a twisted quantum double $D^{\omega}(G)$. In this case, we give necessary and sufficient conditions that Rep($\Bbbk^G_\omega\#_{\overline{c}} \, \Bbbk \overline{G}$) is a modular tensor category.Comment: LaTex; 14 page

Sociology of values: experience of building a taxonomy by using natural language analysis technology

Modern research in the field of sociology of science is becoming more complicated due to the constantly growing publication activity of authors. To track trends in sectoral sociology, scientists turn to scientometric methods, but they are not enough. Trends in the development of the sociology of values as a branch of sociology are the subject of the study. The purpose of the work is an assessment of the possibilities of using natural language analysis methods (NLP/NLA) for thematic and theoretical clustering of research in the sociology of values. The design of the study was quantitative and qualitative, it was carried out in two stages. At the first stage, 121 abstracts of a scientific articles were analyzed using text mining, after which their total array was divided into clusters. At the second stage, the results of machine clustering were examined by the method of qualitative text analysis, on the basis of which the limitations and capabilities of the NLP/NLA method were identified for solving the problem of clustering scientific texts. It was found that articles with a more conservative core of theoretical categories (gender studies, migration studies, the theory of globalism) are more amenable to clustering, while theories with a loosely structured and fluid theoretical core (theories using environmental terminology, theories of inequality) are much less amenable to explicit clustering. The results obtained allow us to form a new direction of work with large arrays of scientific texts, associated with their clustering using NLP/NLA. Building clusters enables researchers to work with all texts in a given subject area, and not just with the most cited ones. This, in turn, provides the visibility of all scientific ideas, including those that have not gained popularity/notability

On the trace of the antipode and higher indicators

We introduce two kinds of gauge invariants for any finite-dimensional Hopf algebra H. When H is semisimple over C, these invariants are respectively, the trace of the map induced by the antipode on the endomorphism ring of a self-dual simple module, and the higher Frobenius-Schur indicators of the regular representation. We further study the values of these higher indicators in the context of complex semisimple quasi-Hopf algebras H. We prove that these indicators are non-negative provided the module category over H is modular, and that for a prime p, the p-th indicator is equal to 1 if, and only if, p is a factor of dim H. As an application, we show the existence of a non-trivial self-dual simple H-module with bounded dimension which is determined by the value of the second indicator.Comment: additional references, fixed some typos, minor additions including a questions and some remark

Topical Agenda for the Study of Values in Foreign Sociology: Topics, Theories, Methodologies

Research on values is important both for the development of sociology and for. practices of social management, they provide the necessary basis for effective public policy.The purpose of this article was to analyze the current agenda for the study of values by building theoretical and methodological thematic clusters. An optional task was to describe the thematic thesaurus used by the authors of the articles on values. The hypothesis was tested that the theory of social status in relation to economic topics received the greatest recognition in the current agenda. The study was carried out in a quantitative design, the method of content analysis was used, followed by the calculation of the c-correlation coefficient between the three semantic components of the study: topic, theory, methodology. The empirical material was the abstracts of 132 articles published in 21 sociological journals, included in the 1 quartile of Scopus in 2016–2020. Articles were selected according to the author’s search method. The limitations of the study are the 5-year time period, the language of the article (English), the use of only abstract texts for analysis, and not the articles themselves, the author’s method of building clusters (it is possible to build clusters on other grounds).Results. The main hypothesis was confirmed. The strongest connection was recorded between the theory of social status and economic topics (c-correlation coefficient — 0.62). The smallest connection was found between family values and theories about values as ideal representations (0.21). At the same time, the coefficient of connection between theories and research topics is, on average, lower than that of methodologies and topics. Qualitative methodology is mentioned by authors of articles on values a little more often than quantitative one. (114 qualitative versus 103 quantitative). In the thematic thesaurus, the greatest diversity is recorded in the research area “Labor and Economics”, the least — in the areas “Family” and “Education”. Despite the fact that the group of articles dealing with values in the sphere of politics is the second largest in the sample with 87 articles (66%), only 15 frequently used terms were included in its thematic thesaurus. In the area of “Labor and Economics”, 65 significant terms were identified; in total, materials of 111 articles (84%) were attributed to this area.The directions of further research are related to the study of the isomorphism of the agenda for the study of values in international and Russian sociology, as well as the analysis of substantive discrepancies in the study of values in the same sphere of life between Russian and foreign sociologists

Evaluating the effectiveness of public health financing based on financial and non-financial indicators in terms of the knowledge economy

In conditions of the knowledge economy human capital, human value are the main factors of economic growth and prosperity of the state. Qualitative characteristics of human capital are indicators of public health. Therefore, one of the most important tasks of the state is to assess the effectiveness of financing public health expenditures. The methodological base of the research was the methods of system and economic analysis, mathematical statistics and decision optimization, which resulted in the identification of factors influencing the resource supply, availability and quality of public health. The formation of a comprehensive indicator of the effectiveness of the public health system based on the system of financial and non-financial indicators will allow to form numerically an assessment of the effectiveness of investments in public health and draw conclusions about the resources' provision, level of development, accessibility and quality of public health. The obtained results can be used in making effective public financial decisions, which allow to achieve an increase of accessibility and quality of health care, focusing on the human capital in conditions of knowledge economy.peer-reviewe

Managerial tools of academic knowledge formation process

© 2016, Econjournals. All rights reserved.The relevance of the study is conditioned by the requirement of modern society to improve the quality of education. Knowledge is a core component in the educational content, along with the skills and competencies. The purpose of the paper is to determine the managerial tools of formation process of academic knowledge. The leading approach to the study is the process approach, allowing to characterize the quality of the academic knowledge (consistency, continuity, generality, efficiency, integrity) and to consider the management of academic knowledge’s formation as a set of interrelated and interactive educational activities, ensuring the efficiency of their assimilation, understanding and application. The paper reveals the functions of academic knowledge (ontological, indicative, motivational); clarifies and scientifically proves managerial tools of the formation process of academic knowledge (case study, informational and event-based learning environment, research method, cognitive tools, unifying language and symbolic systems, visual AIDS, technical training). The paper submissions can be useful for managers and teachers of educational institutions; employees of the centers for advanced training and retraining of personnel in the selection and structuring of the content for the training of scientific and pedagogical staff

VIRUSES IN WEEDS IN Dioscorea YAM FIELDS IN NIGERIA

The presence of viruses in yam leaves and the presence of weeds in close proximity to yam fields have been shown to be associated with diminished tuber yield. But the precise role of weeds as alternative hosts of viruses infecting yam has not been systematically studied. Therefore, leaf samples of weeds were collected from Dioscorea yam fields in FCT-Abuja, and five States of the Guinea Savanna agro-ecological zone of Nigeria in 2009 and 2010, and analysed by Enzyme-Linked Immuno-absorbance Assay (ELISA) and Polymerase Chain Reaction for viruses. Fifty-four and 70% of samples collected during the two years, respectively, were infected with Yam mosaic virus, Cucumber mosaic virus, Cowpea mild mottle virus, Pepper venial mosaic virus, Telfeiria mosaic virus, Cowpea yellow mosaic virus and Badnavirus (DaBV). The weeds and viruses were Hibiscus esculentus Moench (YMV, CMV and CPMMV), Amaranthus spinosus Linn (CMV, YMV), Physalis angulata L (YMV, CMV), Procumbane Linn (CMV), Phyllanthus amarus Shum (YMV, CMV, CPMMV), Ludwigia abyssinica A. Rich (YMV), Galinsoga culiata L. (YMV), Eclipta prostrate Linn (YMV), Justicia flara Vahl (YMV, CMV), Euphorbia heterophylla Linn (YMV, CMV), Melanpodium divaricatum L. (YMV, CMV) and Saccivlepsis Africana Hubb (YMV), Melanpodium divaricatum L. (CPMMV), Crotalaria rutusa L. (YMV, CMV), Aspelia bussei O. Hoffin (CPMMV), Aneilema acquinotide P. Beauv (CPMMV), Pueraria phaseloides Linn (YMV), Platostoma Africana P. (YMV), Conyza summtrensis Retz (YMV, BCMV, PVMV, TeMV), Chroniolea oduratiu L. R (YMV, CYMV), Mitracarpus villosus D.C(CMV) and Sclerocarpus africanus Jacq (BCMV, PVMV, TeMV, Badnavirus). Weeds surrounding yam plants may serve as alternative hosts of viruses.La pr\ue9sence de virus dans yam laisse et la pr\ue9sence de mauvaises herbes dans une proximit\ue9 imm\ue9diate avec l\u2019igname champs auraient d\ufb \ueatre divulgu\ue9s de s\u2019associer avec un rendement de tubercules diminu\ue9e. Mais le r\uf4le pr\ue9cis des mauvaises herbes comme h\uf4te alternatif de virus infectant yam n\u2019a pas \ue9t\ue9 syst\ue9matiquement \ue9tudi\ue9. Par cons\ue9quent, les \ue9chantillons de feuilles des mauvaises herbes ont \ue9t\ue9 recueillies lors des relev\ue9s des champs igname Dioscorea en FCT-Abuja et cinq \uc9tats de la zone agro-\ue9cologique savane de Guin\ue9e du Nig\ue9ria en 2009 et 2010 et analys\ue9s par Enzyme-Linked Immuno-absorption Assay (ELISA) et r\ue9action en cha\ueene par polym\ue9rase pour virus. Cinquante-quatre et 70 % des \ue9chantillons pr\ue9lev\ue9s au cours des deux ann\ue9es ont \ue9t\ue9 infect\ue9s par le virus de la mosa\uefque Yam, Cucumber mosaic virus, virus doux de marbrure du ni\ue9b\ue9, virus de mosa\uefque v\ue9niel poivre, Telferia virus de la mosa\uefque, virus de mosa\uefque jaune de ni\ue9b\ue9 et mosa\uefque (DaBV). Les herbes et les virus ont \ue9t\ue9 Hibiscus esculentus Moench (Vitroth\ue8que, CMV et CPMMV), Amaranthus spinosus Linn (CMV, Vitroth\ue8que), Physalis angulata L. (Vitroth\ue8que, CMV), Procumbane Linn (CMV), Phyllanthus amarus Shum (Vitroth\ue8que, CMV, CPMMV), Ludwigia abyssinica A. Rich (Vitroth\ue8que), culiata L. Galinsoga . (Vitroth\ue8que), Eclipta prosterner Linn (Vitroth\ue8que), Justicia flara Vahl (Vitroth\ue8que, CMV), Euphorbia heterophylla Linn (Vitroth\ue8que, CMV), divaricatum Melanpodium L. (Vitroth\ue8que, CMV) et Saccivlepsis Africana Hubb (Vitroth\ue8que), Melanpodium divaricatum L. (CPMMV), Crotalaria rutusa L. (Vitroth\ue8que, CMV), Aspelia bussei O. Hoffin (CPMMV), Aneilema acquinotide P. Beauv (CPMMV), Pueraria phaseloides Linn (Vitroth\ue8que), Platostoma Africana P. (Vitroth\ue8que), summtrensis de Conyza Retz (VMC, Vitroth\ue8que, PVMV, TeMV), Chroniolea oduratiu L. R (Vitroth\ue8queCYMV), Mitracarpus villosus D.C(CMV) et Sclerocarpus africanus Jacq (VMC, PVMV, TeMV, mosa\uefque). Les mauvaises herbes autour d\u2019igname peuvent servir des h\uf4tes alternes de virus

An Essential Role of N-Terminal Arginylation in Cardiovascular Development

The enzymatic conjugation of arginine to the N-termini of proteins is a part of the ubiquitin-dependent N-end rule pathway of protein degradation. In mammals, three N-terminal residues—aspartate, glutamate, and cysteine—are substrates for arginylation. The mouseATE1 gene encodes a family of Arg-tRNA-protein transferases (R-transferases) that mediate N-terminal arginylation. We constructed ATE1-lacking mouse strains and found thatATE1 −/− embryos die with defects in heart development and in angiogenic remodeling of the early vascular plexus. Through biochemical analyses, we show that N-terminal cysteine, in contrast to N-terminal aspartate and glutamate, is oxidized before its arginylation by R-transferase, suggesting that the arginylation branch of the N-end rule pathway functions as an oxygen sensor

Diagnostics of endowments of students of higher education institutionin the field of art and creative activityby means of the Internet resource

The relevance of the problem considered in article is caused by need of tool ensuring identification, development, diagnostics and escort of the gifted youth studying in higher education institution, in various areas of creative activity at different educational steps and stages of personal development.Актуальность проблемы, рассматриваемой в статье, обусловлена необходимостью инструментального обеспечения выявления, развития, диагностики и сопровождения одаренной молодежи, обучающейся в вузе, в различных областях творческой деятельности, на разных образовательных ступенях и этапах личностного развития