n root of a Lie algebra and its dual (that is fractional supergroup ) based on the permutation group Sn invariant forms is formulated in the Hopf algebra formalism. Detailed discussion of S3-graded sl(2) algebras is done.

Technopark is a union of companies called residents that implement innovation activities. Development of the competence management system for technoparks is currently a relevant task. Such system allows automating the process of resident’s search that can satisfy potential customer tasks. The paper presents a smart space-based approach for competence management system development and implementa...

This paper presents the problem of the current separate treatment of levels of detail in city models. We propose a solution, detail the main principles, and present our initial results on the approach. We conclude with work in progress and explain the benefits of our approach.

Urban Automation Networks (UANs) are being deployed worldwide in order to enable Smart City applications. Given the crucial role of UANs, as well as their diversity, it is critically important to assess their properties and trade-offs. This article introduces the requirements and challenges for UANs, characterizes the main current and emerging UAN paradigms, provides guidelines for their design...

We introduce the h-deformation of the algebra of functions on the grass-mann supergroup Gr(1|1) via a contraction of Gr q (1|1).

As the majority of world population will be living in cities by 2050, it became a necessity for societies to build cities that are capable of meeting the needs of current and future generations in a smart way. There have been initiatives toward smart/sustainable cities that had succeeded, and others had failed. Being sustainable and smart had been used in a quite confusing way. In this paper, w...

We show that in the context of topological string theories N branes and M anti-branes give rise to Chern-Simons gauge theory with the gauge supergroup U (N |M). We also identify a deformation of the theory which corresponds to brane/anti-brane annihilation.