This paper introduces a new method in the study of representations of groups into affine algebraic groups. In this work we focus on the study of SLnrepresentations and postpone the consideration of the theory in full to future papers. Let G be a group and let R be a commutative ring with unity. There is a commutative R-algebra Repn(G), called the universal representation algebra, and the univer...

social capital that exists in relations among social actors and the existence of fortified civil society, with a modern, powerful and developmental state can advance the development process in developing countries with minimum damage and in shortest time. the elements are the three sides of one single triangle. if unity and balance exist and an organic relationship is made between those element...

Parataxis is the main grammatical feature of Chinese sentences while hypotaxis is the main grammatical feature of English. Similarly, Chinese classical paintings stress on the psychological harmony of subject-object unity and Western classical paintings on extrinsic form. It is found that the aesthetic thinking of classical painting is reflected in English and Chinese syntactic structure.

unity truth and the liar the modern relevance of medieval solutions to the liar paradox What to say and what to do when mostly your friends love reading? Are you the one that don't have such hobby? So, it's important for you to start having that hobby. You know, reading is not the force. We're sure that reading will lead you to join in better concept of life. Reading will be a positive activity...

We construct modular categories from Hecke algebras at roots of unity. For a special choice of the framing parameter, we recover the Reshetikhin-Turaev invariants of closed 3-manifolds constructed from the quantum groups Uqsl(N) by ReshetikhinTuraev and Turaev-Wenzl, and from skein theory by Yokota. The possibility of such a construction was suggested by Turaev, as a consequence of Schur-Weil d...

INTRODUCTION Few evidence-based interventions exist to support parenting and child mental health during the process of caregiver HIV status disclosure in sub-Saharan Africa. A secondary analysis of a randomized-controlled trial was conducted to examine the role of family-based intervention versus usual social work care (care as usual) in supporting HIV status disclosure within families in Rwand...

We show that the Hopf link invariants for an appropriate set of finite dimensional representations of U q SL(2) are identical, up to overall normalisation, to the modular S matrix of Kac and Wakimoto for rational k sl(2) representations. We use this observation to construct new modular Hopf algebras, for any root of unity q = e −iπm/r , obtained by taking appropriate quotients of U q SL(2), tha...

Serious Games are being increasingly used as a tool for various applications, including social simulation. One of the domains of application is fire safety training and behaviour elicitation. Injuries and fatal casualties having its origin from fires are a concern for fire safety engineers, building managers, and emergency responders. Training building occupants has been a challenge for quite s...