We use the author's combinatorial theory of full heaps to categorify the action of a large class of Weyl groups on their root systems, and thus to give an elementary and uniform construction of a family of faithful permutation representations of Weyl groups. Examples include the standard representations of affine Weyl groups as permutations of Z and geometrical examples such as the realization ...

In a lab experiment, we assess the role of voluntary entry on the incidence of severe overbidding and bankruptcies, which are widespread in common value auctions. We show that voluntary entry amplifies overbidding and reduces auction profits. Less experienced, male and more risk averse subjects tend to enter the common value auctions.

Study Design: Descriptive epidemiology study. Methods: Injury data for all players (n 1⁄4 78) selected for 1 national Rugby Union team over a 3-year period were analyzed using the international consensus statement methods. Player height (cm) and mass (kg) were recorded. Tournaments were grouped for comparisons as: autumn tournaments (2012 and 2013), Rugby World Cup (RWC; 2011), Six Nations (201...

Quantitative researching on the degree of incidence between the logistics industry and relevant macroscopic system elements is the basis of reasonable and scientific policy on industrial development. In the light of the macro-level, the logistics industry system is consisted of multiple macroscopic agents such as macro-economic, infrastructure, social environment, market demanding, the traditio...

In the building of a finite group of Lie type we consider the incidence relations defined by oppositeness of flags. Such a relation gives rise to a homomorphism of permutation modules (in the defining characteristic) whose image is a simple module for the group. The p-rank of the incidence relation is then the dimension of this simple module. We give some general reductions towards the determin...

In India a number of reports have appeared concerning the distribution of dermatophytes from various habits. However, there are very few reports on the occurrence and distribution of dermatophytes in soils of India. Keeping in view the microbiological and pathological importance of dermatophytes the present study was planned to find out their distribution in selected school soils of Visakhapatn...