Cellular decomposition of quaternionic spherical space forms

We obtain an explicit cellular decomposition of the quaternionic spherical space forms, manifolds of positive constant curvature that are factors of an odd sphere by a free orthogonal action of a generalized quaternionic group. The cellular structure gives and explicit description of the associated cellular chain complex of modules over the integral group ring of the fundamental group. As an application we compute the Whitehead torsion of these spaces for any representation of the fundamental group. © 2012 Springer Science+Business Media B.V.

Construções de reticulados via extensões cíclicas de grau ímpar

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Normal Enveloping Algebras

A full characterization is given of ordinary and restricted enveloping algebras which are normal with respect to the principal involution.

Group theory and quasiprobability integrals of Wigner functions

The integral of the Wigner function of a quantum-mechanical system over a region or its boundary in the classical phase plane, is called a quasiprobability integral. Unlike a true probability integral, its value may lie outside the interval [0, 1]. It is characterized by a corresponding selfadjoint operator, to be called a region or contour operator as appropriate, which is determined by the characteristic function of that region or contour. The spectral problem is studied for commuting families of region and contour operators associated with concentric discs and circles of given radius a. Their respective eigenvalues are determined as functions of a, in terms of the Gauss-Laguerre polynomials. These polynomials provide a basis of vectors in a Hilbert space carrying the positive discrete series representation of the algebra su(1, 1) approximate to so(2, 1). The explicit relation between the spectra of operators associated with discs and circles with proportional radii, is given in terms of the discrete variable Meixner polynomials.

Report on the Expert Group Meeting on the Comprehensive and Integral International Convention to Promote and Protect the Rights and Dignity of Persons with Disabilities

The main objective of the meeting was to present recommendations to the Ad Hoc Committee established by the United Nations to consider proposals and elements for inclusion in an international convention aimed at protecting and promoting the rights and dignity of persons with disabilities. Attending the meeting were key stakeholders from the human rights and disabled community, public and private sector, the academic community, and members of the United Nations system.

FREE GROUP ALGEBRAS IN DIVISION RINGS

Let k be an algebraically closed field of characteristic zero and let L be an algebraic function field over k. Let sigma : L -> L be a k-automorphism of infinite order, and let D be the skew field of fractions of the skew polynomial ring L[t; sigma]. We show that D contains the group algebra kF of the free group F of rank 2.

Chemistry of pyrrocorphins: synthesis of isobacteriochlorins and pyrrocorphins bearing a methyl group at the meso position between rings A and D

A sigmatropic methyl shift from the angular position C-1 in ring to the position C-20 between rings and constitutes the crucial step in syntheses leading to a 20-methyl-isobacteriochlorin and to 20-methyl-pyrrocorphins which served as substrates in the investigation presented in the accompanying communication.

Quantum symmetries and the Weyl–Wigner product of group representations

In the usual formulation of quantum mechanics, groups of automorphisms of quantum states have ray representations by unitary and antiunitary operators on complex Hilbert space, in accordance with Wigner's theorem. In the phase-space formulation, they have real, true unitary representations in the space of square-integrable functions on phase space. Each such phase-space representation is a Weyl–Wigner product of the corresponding Hilbert space representation with its contragredient, and these can be recovered by 'factorizing' the Weyl–Wigner product. However, not every real, unitary representation on phase space corresponds to a group of automorphisms, so not every such representation is in the form of a Weyl–Wigner product and can be factorized. The conditions under which this is possible are examined. Examples are presented.

Algebraic Bethe ansatz for integrable extended Hubbard models arising from supersymmetric group solutions

Integrable extended Hubbard models arising from symmetric group solutions are examined in the framework of the graded quantum inverse scattering method. The Bethe ansatz equations for all these models are derived by using the algebraic Bethe ansatz method.

Estudantes público-alvo da educação especial na educação em tempo integral : um estudo em Vitória-ES

Este estudo tem como tema “Estudantes Público-Alvo da Educação Especial na Educação em Tempo Integral no Município de Vitoria-ES”. Seu objetivo geral foi investigar os modos de atendimento aos estudantes público-alvo da Educação Especial do Programa Educação em Tempo Integral – Educação Ampliada, oferecido pelo ensino público municipal nas Escolas de Ensino Fundamental (EMEFs) do município de Vitória, pela fala dos gestores e executores do programa. Seus objetivos específicos foram compreender a configuração da proposta de Educação em Tempo Integral – Educação Ampliada no município de Vitória-ES; caracterizar o conjunto de estudantes público-alvo da Educação Especial participantes do Programa Educação em Tempo Integral – Educação Ampliada no município; compreender os sentidos e significados da inclusão de estudantes público-alvo da Educação Especial no Programa Educação em Tempo Integral – Educação Ampliada no município de Vitória-ES. Trata-se de pesquisa qualitativa, cuja metodologia envolveu revisão de literatura e estudo de caso. O instrumento de pesquisa foi uma entrevista semiestruturada, por permitir explorar mais amplamente as abordagens e proporcionar aos entrevistados maior liberdade para emitir as suas opiniões. Os sujeitos da pesquisa foram os gestores responsáveis pelo desenvolvimento do Programa Educação em Tempo Integral – Educação Ampliada da Secretaria Municipal de Educação do município de Vitória (Seme) e a equipe de uma das EMEFs que compôs o grupo focal, profissionais diretamente envolvidos no exercício das práticas pedagógicas com os estudantes matriculados no Programa da Unidade de Ensino. Os resultados das análises da pesquisa foi que a Educação em Tempo Integral – Educação Ampliada é uma realidade no município de Vitória-ES, desde a sua implantação em 1989. O programa atende hoje a 3.203 estudantes. Desse total, apenas 35, ou seja, 1,9%, compõem o público-alvo da Educação Especial atendido pelo programa em foco. A análise das informações documentais, os relatos dos gestores que se revezaram desde a implantação do Peti e as entrevistas com os sujeitos desta pesquisa revelaram que a educação em tempo integral se processa no município de Vitória de forma lenta e descontínua, especialmente por ocasião do revezamento entre uma administração e outra, quando muda a gestão política.

Exciting dynamical behavior in a network of two coupled rings of Chen oscillators

We study exotic patterns appearing in a network of coupled Chen oscillators. Namely, we consider a network of two rings coupled through a “buffer” cell, with Z3×Z5 symmetry group. Numerical simulations of the network reveal steady states, rotating waves in one ring and quasiperiodic behavior in the other, and chaotic states in the two rings, to name a few. The different patterns seem to arise through a sequence of Hopf bifurcations, period-doubling, and halving-period bifurcations. The network architecture seems to explain certain observed features, such as equilibria and the rotating waves, whereas the properties of the chaotic oscillator may explain others, such as the quasiperiodic and chaotic states. We use XPPAUT and MATLAB to compute numerically the relevant states.

Production of mexican brown macroalgae fucoidan and fucosidases under an integral green technology bioproceses by the biorefinery concept

Marine ecosystem can be considered a rather exploited source of natural substances with enormous bioactive potential. In Mexico macro-algae study remain forgotten for research and economic purposes besides the high amount of this resource along the west and east coast. For that reason the Bioferinery Group of the Autonomous University of Coahuila, have been studying the biorefinery concept in order to recover high value byproducts of Mexican brown macro-algae including polysaccharides and enzymes to be applied in food, pharmaceutical and energy industry. Brown macroalgae are an important source of fucoidan, alginate and laminarin which comprise a complex group of macromolecules with a wide range of important biological properties such as anticoagulant, antioxidant, antitumoral and antiviral and also as rich source of fermentable sugars for enzymes production. Additionally, specific enzymes able to degrade algae matrix (fucosidases, sulfatases, aliginases, etc) are important tools to establish structural characteristics and biological functions of these polysaccharides. The aims of the present work were the integral study of bioprocess for macroalgae biomass exploitation by the use of green technologies as hydrothermal extraction and solid state fermentation in order to produce polysaccharides and enzymes (fucoidan and fucoidan hydrolytic enzymes). This work comprises the use of the different bioprocess phases in order to produce high value products with lower time and wastes.