scholarly journals Rank varieties and 𝜋-points for elementary supergroup schemes

2021 ◽  
Vol 8 (31) ◽  
pp. 971-998
Author(s):  
Dave Benson ◽  
Srikanth Iyengar ◽  
Henning Krause ◽  
Julia Pevtsova
Keyword(s):  
Positive Characteristic ◽  
Content Type ◽  
Group Schemes ◽  
Support Theory ◽  
Odd Degree ◽  
Stable Module ◽  
Definition Of ◽  
T Tau ◽  
Finite Group Schemes ◽  
Field Of Positive Characteristic

We develop a support theory for elementary supergroup schemes, over a field of positive characteristic p ⩾ 3 p\geqslant 3 , starting with a definition of a π \pi -point generalising cyclic shifted subgroups of Carlson for elementary abelian groups and π \pi -points of Friedlander and Pevtsova for finite group schemes. These are defined in terms of maps from the graded algebra k [ t , τ ] / ( t p − τ 2 ) k[t,\tau ]/(t^p-\tau ^2) , where t t has even degree and τ \tau has odd degree. The strength of the theory is demonstrated by classifying the parity change invariant localising subcategories of the stable module category of an elementary supergroup scheme.

scholarly journals Local duality for representations of finite group schemes

2019 ◽  
Vol 155 (2) ◽  
pp. 424-453 ◽  
Author(s):  
Dave Benson ◽  
Srikanth B. Iyengar ◽  
Henning Krause ◽  
Julia Pevtsova
Keyword(s):  
Finite Group ◽  
Cohomology Ring ◽  
Group Scheme ◽  
Stable Category ◽  
Group Schemes ◽  
Stable Module Category ◽  
Serre Duality ◽  
Stable Module ◽  
A Finite Group ◽  
Finite Group Schemes

A duality theorem for the stable module category of representations of a finite group scheme is proved. One of its consequences is an analogue of Serre duality, and the existence of Auslander–Reiten triangles for the $\mathfrak{p}$-local and $\mathfrak{p}$-torsion subcategories of the stable category, for each homogeneous prime ideal $\mathfrak{p}$ in the cohomology ring of the group scheme.

scholarly journals Saturation rank for finite group schemes: Finite groups and infinitesimal group schemes

2018 ◽  
Vol 30 (2) ◽  
pp. 479-495
Author(s):  
Yang Pan
Keyword(s):  
Finite Group ◽  
Lie Algebras ◽  
Finite Groups ◽  
Positive Characteristic ◽  
Group Scheme ◽  
Closed Field ◽  
Group Schemes ◽  
Frobenius Kernel ◽  
A Finite Group ◽  
Finite Group Schemes

AbstractWe investigate the saturation rank of a finite group scheme defined over an algebraically closed field{\Bbbk}of positive characteristicp. We begin by exploring the saturation rank for finite groups and infinitesimal group schemes. Special attention is given to reductive Lie algebras and the second Frobenius kernel of the algebraic group{\operatorname{SL}_{n}}.

scholarly journals Infinite-Dimensional Modular Lie SuperalgebraΩ

2013 ◽  
Vol 2013 ◽  
pp. 1-10
Author(s):  
Xiaoning Xu ◽  
Bing Mu
Keyword(s):  
Positive Characteristic ◽  
Intrinsic Property ◽  
Lie Superalgebra ◽  
Infinite Dimensional ◽  
Modular Lie Superalgebra ◽  
Nilpotent Elements ◽  
Natural Filtration ◽  
Definition Of ◽  
Field Of Positive Characteristic

All ad-nilpotent elements of the infinite-dimensional Lie superalgebraΩover a field of positive characteristic are determined. The natural filtration of the Lie superalgebraΩis proved to be invariant under automorphisms by characterizing ad-nilpotent elements. Then an intrinsic property is obtained by the invariance of the filtration; that is, the integers in the definition ofΩare intrinsic. Therefore, we classify the infinite-dimensional modular Lie superalgebraΩin the sense of isomorphism.

Financial capabilities development: essential discourse in social work

2019 ◽  
Vol 46 (10) ◽  
pp. 1234-1246
Author(s):  
Lambert K. Engelbrecht ◽  
Abigail Ornellas
Keyword(s):  
Sustainable Development ◽  
Social Work ◽  
Financial Literacy ◽  
Community Education ◽  
Work Practice ◽  
Well Being ◽  
Social Work Practice ◽  
Content Type ◽  
Vulnerable Households ◽  
Definition Of

Purpose Within a neoliberal environment, financial vulnerability of households has become an increasing challenge and there is a requirement of financial literacy education, a necessary activity to facilitate sustainable development and well-being. However, this is seldom a mainstream discourse in social work deliberations. The paper aims to discuss these issues. Design/methodology/approach First, introducing the neoliberal impact on financial well-being and capability for vulnerable households, the authors’ postulation is substantiated on a seven-point argument. The contexts of financially vulnerable households are sketched. Second, a conceptualisation of financial literacy is offered, and third, perspectives on and approaches to financial literacy as a fundamental capability are presented. This is followed by a theoretical foundation of community education as a practice model in social work to develop financial capabilities. In the fifth place, prevailing practices of Financial Capabilities Development (FCD) programmes are offered. Subsequently, the implications of a neoliberal environment for social work practice are examined. Findings The revised global definition of social work encourages the profession to understand and address the structural causes of social problems through collective interventions. As a response, it is argued that community education towards FCD of vulnerable households within a neoliberal environment should be an essential discourse in social development. Originality/value The authors reflect on the significance of FCD, highlighting its contribution towards human security and sustainable development. Although this paper draws on Southern African contexts, the discourse finds resonance in other contexts across the world.

Collaborative design in public services: a wicked problem-reframing case

2020 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Patrícia Moura e Sá ◽  
Catarina Frade ◽  
Fernanda Jesus ◽  
Mónica Lopes ◽  
Teresa Maneca Lima ◽  
...  
Keyword(s):  
Collaborative Design ◽  
Success Factors ◽  
Central Government ◽  
Wicked Problem ◽  
Low Density ◽  
Structured Interviews ◽  
Content Type ◽  
Critical Success ◽  
Definition Of ◽  
The Right

PurposeWicked problems require collaborative innovation approaches. Understanding the problem from the users' perspective is essential. Based on a complex and ill-defined case, the purpose of the current paper is to identify some critical success factors in defining the “right problem” to be addressed.Design/methodology/approachAn empirical research study was carried out in a low-density municipality (case study). Extensive data were collected from official databases, individual semi-structured interviews and a focus group involving citizens, local authorities, civil servants and other relevant stakeholders.FindingsAs defined by the central government, the problem to be addressed by the research team was to identify which justice services should be made available locally to a small- and low-density community. The problem was initially formulated using top-down reasoning. In-depth contact with citizens and key local players revealed that the lack of justice services was not “the issue” for that community. Mobility constraints and the shortage of economic opportunities had a considerable impact on the lack of demand for justice services. By using a bottom-up perspective, it was possible to reframe the problem to be addressed and suggest a new concept to be tested at later stages.Social implicationsThe approach followed called attention to the importance of listening to citizens and local organisations with a profound knowledge of the territory to effectively identify and circumscribe a local problem in the justice field.Originality/valueThe paper highlights the limitations of traditional rational problem-solving approaches and contributes to expanding the voice-of-the-customer principle showing how it can lead to a substantially new definition of the problem to be addressed.

Support for female international business travellers in dual-career families

2017 ◽  
Vol 5 (1) ◽  
pp. 22-42 ◽  
Author(s):  
Katharina Puchmüller ◽  
Iris Fischlmayr
Keyword(s):  
Social Support ◽  
International Business ◽  
Organizational Support ◽  
Dual Career ◽  
Structured Interviews ◽  
Content Type ◽  
Cultural Variations ◽  
Support Theory ◽  
Template Analysis ◽  
Business Travellers

Purpose The purpose of this paper is to evaluate experiences of female international business travellers living in dual-career families (DCFs) who also have childcare obligations. In particular, the paper explores in which way different sources of support – specifically organizational support – are perceived as important and are available to the women under research. Because of the women’s regular absences due to business trips and the fulfilment of their family role, challenges regarding childcare or household responsibilities may occur. Consequently and also according to social support theory, different types of support may be necessary to organize family and international career, and effectively perform in both environments. Design/methodology/approach This paper examines the experiences and thoughts of these women with special regards on support issues. Data are collected from 51 semi-structured interviews with internationally travelling women in DCF situations originating from seven Western and non-Western countries. The interviews are analysed applying template analysis. Findings Results show that, across countries, support is mainly derived from within family. Regarding institutional or organizational support, however, the reported expectations and actually offered activities differ because of local institutional and cultural variations. The examined women value different forms of organizational support, but do not necessarily expect it. Originality/value This paper represents the first exploratory examinations of various forms of support for female international business travellers in DCFs suggested by social support theory. It includes a culturally diverse sample and contributes to cross-cultural career research.

Social media and consumer engagement: a review and research agenda

2016 ◽  
Vol 10 (4) ◽  
pp. 268-287 ◽  
Author(s):  
Victor Barger ◽  
James W. Peltier ◽  
Don E. Schultz
Keyword(s):  
Social Media ◽  
Recent Literature ◽  
Future Research ◽  
Consumer Engagement ◽  
Research Directions ◽  
Content Type ◽  
Future Research Directions ◽  
Antecedents And Consequences ◽  
Area Of Concern ◽  
Definition Of

Purpose In “Social media’s slippery slope: challenges, opportunities and future research directions”, Schultz and Peltier (2013) asked “whether or how social media can be used to leverage consumer engagement into highly profitable relationships for both parties”. The purpose of this article is to continue this discussion by reviewing recent literature on consumer engagement and proposing a framework for future research. Design/methodology/approach The paper reviews the marketing literature on social media, paying particular attention to consumer engagement, which was identified as a primary area of concern in Schultz and Peltier (2013). Findings A significant amount of research has been conducted on consumer engagement since 2010. Lack of consensus on the definition of the construct has led to fragmentation in the discipline, however. As a result, research related to consumer engagement is often not identified as such, making it difficult for academics and practitioners to stay abreast of developments in this area. Originality/value This critical review provides marketing academics and practitioners insights into the antecedents and consequences of consumer engagement and offers a conceptual framework for future research.

Interaction, engagement, and perceived interactivity in single-handed interaction

2016 ◽  
Vol 26 (5) ◽  
pp. 1134-1157 ◽  
Author(s):  
Donghee Shin ◽  
Myunggoon Choi ◽  
Jang Hyun Kim ◽  
Jae-gil Lee
Keyword(s):  
Behavioral Intention ◽  
Interaction Techniques ◽  
Content Type ◽  
Thumb Movement ◽  
Wide Range ◽  
Mobile Industry ◽  
Perceived Interactivity ◽  
The Subject ◽  
Definition Of ◽  
Practical Implications

Purpose The purpose of this paper is to examine the effects of interaction techniques (e.g. swiping and tapping) and the range of thumb movement on interactivity, engagement, attitude, and behavioral intention in single-handed interaction with smartphones. Design/methodology/approach A 2×2 between-participant experiment (technological features: swiping and tapping×range of thumb movement: wide and narrow) was conducted to study the effects of interaction techniques and thumb movement ranges. Findings The results showed that the range of thumb movement had significant effects on perceived interactivity, engagement, attitude, and behavioral intention, whereas no effects were observed for interaction techniques. A narrow range of thumb movement had more influence on the interactivity outcomes in comparison to a wide range of thumb movement. Practical implications While the subject of actual and perceived interactivity has been discussed, the issue has not been applied to smartphone. Based on the research results, the mobile industry may come up with a design strategy that balances feature- and perception-based interactivity. Originality/value This study adopted the perspective of the hybrid definition of interactivity, which includes both actual and perceived interactivity. Interactivity effect outcomes mediated by perceived interactivity.

Contemporary psychosurgery and a look to the future

2001 ◽  
Vol 95 (6) ◽  
pp. 944-956 ◽  
Author(s):  
Robert P. Feldman ◽  
Ronald L. Alterman ◽  
James T. Goodrich
Keyword(s):  
Modern Science ◽  
Psychiatric Disease ◽  
Content Type ◽  
Current State ◽  
Mind And Brain ◽  
Patient Selection Criteria ◽  
Definition Of ◽  
Historical Developments ◽  
The Mind ◽  
Fine Print

Object. Despite a long and controversial history, psychosurgery has persisted as a modern treatment option for some severe, medically intractable psychiatric disorders. The goal of this study was to review the current state of psychosurgery. Methods. In this review, the definition of psychosurgery, patient selection criteria, and anatomical and physiological rationales for cingulotomy, subcaudate tractotomy, anterior capsulotomy, and limbic leukotomy are discussed. The historical developments, modern procedures, and results of these four contemporary psychosurgical procedures are also reviewed. Examples of recent advances in neuroscience indicating a future role for neurosurgical intervention for psychiatric disease are also mentioned. Conclusions. A thorough understanding of contemporary psychosurgery will help neurosurgeons and other physicians face the ethical, social, and technical challenges that are sure to lie ahead as modern science continues to unlock the secrets of the mind and brain.

The operational efficiency of passenger aircraft

2006 ◽  
Vol 78 (1) ◽  
pp. 32-38 ◽  
Author(s):  
Donald McLean
Keyword(s):  
Design Methodology ◽  
Operational Efficiency ◽  
Civil Aviation ◽  
Content Type ◽  
Transport Economics ◽  
Load Factors ◽  
Consistent Assessment ◽  
Definition Of ◽  
Passenger Aircraft ◽  
Practical Implications

PurposeTo provide for the use of airlines and other civil aviation organizations a practical definition of operational efficiency and to show how it can be determined.Design/methodology/approachA brief account of air transport economics is used to demonstrate how bom load factors and aircraft utilization need to be considered in assessing operational efficiency. Then other efficiencies are treated briefly before an example is given of how the better of two fictitious aircraft can be chosen for a particular route. A second example involving the calculation of the operational efficiency achieved by an imaginary airline is also given to show that the typical value is lower than might be expected, particularly in view of the relatively high load factors involved.FindingsProvides performance values and economic figures which are typical of current airline operations.Practical implicationsUse of the proposed definition will allow the consistent assessment of the economic performance of airlines.Originality/valueAt present there is no definition of operational efficiency in general use although it is greatly needed by airlines. The definition proposed in this paper is practical and easy to use.

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