Solvable Leibniz algebras with triangular nilradical

A classification exists for Lie algebras whose nilradical is the triangular Lie algebra $T(n)$. We extend this result to a classification of all solvable Leibniz algebras with nilradical $T(n)$. As an example we show the complete classification of all Leibniz algebras whose nilradical is $T(4)$.Comment: arXiv admin note: text overlap with arXiv:1307.844

A Frattini Theory for Leibniz Algebras

A Frattini theory for non-associative algebras was developed by Towers and results for particular classes of algebras have appeared in various articles. Especially plentiful are results on Lie algebras. It is the purpose of this paper to extend some of the Lie algebra results to Leibniz algebras

Codes and shifted codes

The action of the Bernstein operators on Schur functions was given in terms of codes in [CG] and extended to the analog in Schur Q-functions in [HJS]. We define a new combinatorial model of extended codes and show that both of these results follow from a natural combinatorial relation induced on codes. The new algebraic structure provides a natural setting for Schur functions indexed by compositions

The way of the flesh: life, geopolitics and the weight of the future

How can a feminist materialism problematise the knowledges and practices of geopolitics, and locate new objects for critical analysis? In the following, I acknowledge how geopolitics as a form of statecraft has been preoccupied with the unruly nature of flesh. I also note how an accounting for flesh as a socio-spatial material has helped to animate both a critical geopolitical inquiry concerned with the inscription of bodies alongside other texts and a feminist concern with embodiment. My response to these developments is twofold. First, I want to query the devolving of the flesh into an ideologically saturated matter that can be examined using corporeal bodies as entry points for analysis. Second, and via recourse to work founded on feminist material philosophies, I want to reclaim the excessive, lively character of flesh. To do so, I outline how the geo- in geopolitics can be understood as an ‘earthiness’ that is concerned, at the broadest level, with differential orderings of and access to life, and especially the matters of sex, sexuality and reproduction, and, more specifically, with a concern for differential renderings of a corporeal vulnerability and obduracy, and the articulation of these alongside the building of a practice-based ethics. Using the example of stem cells, I go on to demonstrate how an emphasis upon flesh as an object of analysis allows for a reworking of geopolitics' traditional foci – such as borders – away from questions of the ‘where’ of social relations and toward the inexhaustible becoming of materials and forces that makes and unmakes such <i>foci</i>

Mutual shaping in swarm robotics: User studies in fire and rescue, storage organization, and bridge inspection

Many real-world applications have been suggested in the swarm robotics literature. However, there is a general lack of understanding of what needs to be done for robot swarms to be useful and trusted by users in reality. This paper aims to investigate user perception of robot swarms in the workplace, and inform design principles for the deployment of future swarms in real-world applications. Three qualitative studies with a total of 37 participants were done across three sectors: fire and rescue, storage organization, and bridge inspection. Each study examined the users’ perceptions using focus groups and interviews. In this paper, we describe our findings regarding: the current processes and tools used in these professions and their main challenges; attitudes toward robot swarms assisting them; and the requirements that would encourage them to use robot swarms. We found that there was a generally positive reaction to robot swarms for information gathering and automation of simple processes. Furthermore, a human in the loop is preferred when it comes to decision making. Recommendations to increase trust and acceptance are related to transparency, accountability, safety, reliability, ease of maintenance, and ease of use. Finally, we found that mutual shaping, a methodology to create a bidirectional relationship between users and technology developers to incorporate societal choices in all stages of research and development, is a valid approach to increase knowledge and acceptance of swarm robotics. This paper contributes to the creation of such a culture of mutual shaping between researchers and users, toward increasing the chances of a successful deployment of robot swarms in the physical realm