The path group construction of Lie group extensions

We present an explicit realization of abelian extensions of infinite dimensional Lie groups using abelian extensions of path groups, by generalizing Mickelsson's approach to loop groups and the approach of Losev-Moore-Nekrasov-Shatashvili to current groups. We apply our method to coupled cocycles on current Lie algebras and to Lichnerowicz cocycles on the Lie algebra of divergence free vector fields.Comment: 16 page

Relatively hyperbolic groups: geometry and quasi-isometric invariance

In this paper it is proved that relative hyperbolicity is an invariant of quasi-isometry. As a byproduct of the arguments, simplified definitions of relative hyperbolicity are obtained. In particular we obtain a new definition very similar to the one of hyperbolicity, relying on the existence for every quasi-geodesic triangle of a central left coset of peripheral subgroup.Comment: 34 pages, Latex; added references, corrected typos, pictures included in the Latex fil

Why we need to establish international political psychology

A combination of Psychology with International Relations yields important results and ideas for improving the international world. This chapter proposes to establish International Political Psychology as a discipline with the purpose of harvesting ideas, theories and concepts that derive out of a combination of the above disciplines

Diophantine approximation on rational quadrics

We compute the Hausdorff dimension of sets of very well approximable vectors on rational quadrics. We use ubiquitous systems and the geometry of locally symmetric spaces. As a byproduct we obtain the Hausdorff dimension of the set of rays with a fixed maximal singular direction, which move away into one end of a locally symmetric space at linear depth, infinitely many times.Comment: 55 pages, 3 figures, to appear in Math. Annalen, revised version : updated references, minor correction

Determination and evaluation of web accessibility

The Web is the most pervasive collaborative technology in widespread use today; however, access to the web and its many applications cannot be taken for granted. Web accessibility encompasses a variety of concerns ranging from societal, political, and economic to individual, physical, and intellectual through to the purely technical. Thus, there are many perspectives from which web accessibility can be understood and evaluated. In order to discuss these concerns and to gain a better understanding of web accessibility, an accessibility framework is proposed using as its base a layered evaluation framework from Computer Supported Co-operative Work research and the ISO standard, ISO/IEC 9126 on software quality. The former is employed in recognition of the collaborative nature of the web and its importance in facilitating communication. The latter is employed to refine and extend the technical issues and to highlight the need for considering accessibility from the viewpoint of the web developer and maintainer as well as the web user. A technically inaccessible web is unlikely to be evolved over time. A final goal of the accessibility framework is to provide web developers and maintainers with a practical basis for considering web accessibility through the development of a set of accessibility factors associated with each identified layer

Lagrangian Reduction on Homogeneous Spaces with Advected Parameters

We study the Euler-Lagrange equations for a parameter dependent $G$-invariant Lagrangian on a homogeneous $G$-space. We consider the pullback of the parameter dependent Lagrangian to the Lie group $G$, emphasizing the special invariance properties of the associated Euler-Poincar\'e equations with advected parameters