Let H be a finite-dimensional semisimple Hopf algebra. Recently it was shown in [LM] that a version of the Frobenius-Schur theorem holds for Hopf algebras, and thus that the Schur indicator ν(χ) of the character χ of a simple H-module is well-defined; this fact for the special case of Kac algebras was shown in [FGSV]. In this paper we show that for an important class of non-trivial Hopf algebra...

Exergy concepts and exergy based methods offer an insight to the understanding of sustainable energy engineering. The utilization of energy and other resources by applying physical concept as exergy and exergy based methods and the value of these tools in the design are presented, in particular Life Cycle Exergy Analysis (LCEA). LCEA is applied to a typical wind power plant. This brings a new a...

Master student in Health and Nutrition (Research Line: Biochemistry and Pathophysiology of Nutrition) by Universidade Federal de Ouro Preto, Ouro Preto – Minas Gerais, Brazil. Bachalor’s Degree in Nutrition by Faculdade de Minas, MuriaéMinas Gerais, Brazil. MSc. PhD student in Physiology and Professor at Universidade Federal de Ouro Preto, Ouro Preto – Minas Gerais, Brazil. PhD in Science and T...

The Lie group Sol(p, q) is the semidirect product induced by the action of R on R which is given by (x, y) 7→ (ex, e−qzy), z ∈ R. Viewing Sol(p, q) as a 3-dimensional manifold, it carries a natural Riemannian metric and Laplace-Beltrami operator. We add a linear drift term in the z-variable to the latter, and study the associated Brownian motion with drift. We derive a central limit theorem and...

The main result of the present paper is the theorem 1, which describes the topological support of an arbitrary Gaussian measure in a separable Banach space. This theorem will be proved after some discussion of the notion of support itself. But we begin with the reminder of the notion of covariance operator of a probability measure. This notion has a great importance not only for the description...

Asymptotics of the variances of many cost measures in random digital search trees are often notoriously messy and involved to obtain. A new approach is proposed to facilitate such an analysis for several shape parameters on random symmetric digital search trees. Our approach starts from a more careful normalization at the level of Poisson generating functions, which then provides an asymptotica...