On calibrated representations of the degenerate affine periplectic Brauer algebra

We initiate the representation theory of the degenerate affine periplectic Brauer algebra on $n$ strands by constructing its finite-dimensional calibrated representations when $n=2$. We show that any such representation that is indecomposable and does not factor through a representation of the degenerate affine Hecke algebra occurs as an extension of two semisimple representations with one-dimensional composition factors; and furthermore, we classify such representations with regular eigenvalues up to isomorphism

'Word from the street' : when non-electoral representative claims meet electoral representation in the United Kingdom

Taking the specific case of street protests in the UK – the ‘word from the street’– this article examines recent (re)conceptualizations of political representation, most particularly Saward’s notion of ‘representative claim’. The specific example of nonelectoral claims articulated by protestors and demonstrators in the UK is used to illustrate: the processes of making, constituting, evaluating and accepting claims for and by constituencies and audiences; and the continuing distinctiveness of claims based upon electoral representation. Two basic questions structure the analysis: first, why would the political representative claims of elected representatives trump the nonelectoral claims of mass demonstrators and, second, in what ways does the ‘perceived legitimacy’ of the former differ from the latter

Fear and Courage in Children: Two Sides of the Same Coin?

This study further investigated the construct of courage in children. Children aged 8–13 years (n = 51) were interviewed about the most courageous action that they had ever performed during their life, and to retrospectively rate their level of fear and courage experienced during that event. On a separate occasion, children also completed the Courage Measure for Children (CM-C) as an index of children’s general level of personal courage, as well as scales for assessing anxiety symptoms and sensation seeking. Results indicated that almost all children (i.e., 94%) indicated that they had carried out a courageous action at some point during their life, although the levels of fear and courage associated with these acts varied considerably. Further, there was no relation between fear and courage reported for the courageous action, but these variables were significantly correlated with respectively anxiety symptoms and personal courage as indexed by the CM-C. Finally, a significant positive correlation was observed between sensation seeking and personal courage, indicating that children who are more thrill and adventure seeking are generally also more courageous. It is concluded that fear and courage in children are largely unrelated and not just two sides of the same coin. The implications of these results for the etiology and treatment of childhood anxiety problems are discussed

Translation functors and decomposition numbers for the periplectic Lie superalgebra p(n)\mathfrak{p}(n)

We study the category $\mathcal{F}_n$ of finite-dimensional integrable representations of the periplectic Lie superalgebra $\mathfrak{p}(n)$. We define an action of the Temperley-Lieb algebra with infinitely many generators and defining parameter $0$ on the category $\mathcal{F}_n$ by translation functors. We also introduce combinatorial tools, called weight diagrams and arrow diagrams for $\mathfrak{p}(n)$ resembling those for $\mathfrak{gl}(m|n)$. Using the Temperley-Lieb algebra action and the combinatorics of weight and arrow diagrams, we then calculate the multiplicities of standard and costandard modules in indecomposable projective modules and classify the blocks of $\mathcal{F}_n$. We also prove that indecomposable projective modules in this category are multiplicity-free

Translation functors and decomposition numbers for the periplectic Lie superalgebra p(n)\mathfrak{p}(n)

We study the category $\mathcal{F}_n$ of finite-dimensional integrable representations of the periplectic Lie superalgebra $\mathfrak{p}(n)$. We define an action of the Temperley-Lieb algebra with infinitely many generators and defining parameter $0$ on the category $\mathcal{F}_n$ by translation functors. We also introduce combinatorial tools, called weight diagrams and arrow diagrams for $\mathfrak{p}(n)$ resembling those for $\mathfrak{gl}(m|n)$. Using the Temperley-Lieb algebra action and the combinatorics of weight and arrow diagrams, we then calculate the multiplicities of standard and costandard modules in indecomposable projective modules and classify the blocks of $\mathcal{F}_n$. We also prove that indecomposable projective modules in this category are multiplicity-free

Translation functors and decomposition numbers for the periplectic Lie superalgebra p(n)\mathfrak{p}(n)

We study the category $\mathcal{F}_n$ of finite-dimensional integrable representations of the periplectic Lie superalgebra $\mathfrak{p}(n)$. We define an action of the Temperley-Lieb algebra with infinitely many generators and defining parameter $0$ on the category $\mathcal{F}_n$ by translation functors. We also introduce combinatorial tools, called weight diagrams and arrow diagrams for $\mathfrak{p}(n)$ resembling those for $\mathfrak{gl}(m|n)$. Using the Temperley-Lieb algebra action and the combinatorics of weight and arrow diagrams, we then calculate the multiplicities of standard and costandard modules in indecomposable projective modules and classify the blocks of $\mathcal{F}_n$. We also prove that indecomposable projective modules in this category are multiplicity-free

“You Might Belong in Gryffindor”: Children’s Courage and Its Relationships to Anxiety Symptoms, Big Five Personality Traits, and Sex Roles

This study describes a first exploration of the construct of courage in youths. Children aged 8–13 years were invited to report on the most courageous action that they had ever performed during their life. In addition, the Courage Measure for Children (CM-C) was construed as an index of children’s level of personal courage, and this scale was administered in two samples of school children (Ns being 168 and 159) along with a number of other questionnaires. Results indicated that children were familiar with the concept of courage as more than 70% reported to have carried out a courageous action during their life. In addition, self-reported courage as indexed by the CM-C was positively correlated with scores on a vignette measure of courage, parent ratings of children’s courage, extraversion, openness/intellect, and a masculine sex role, whereas a negative correlation was observed with anxiety symptoms. The implications of these findings and potential directions for future research are briefly discussed