Graded algebra automorphisms

We consider the Clifford algebra C(q) of a regular quadratic space (V, q) over a field K with its structure of Z/2Z-graded K-algebra. We give a characterization of the group of graded automorphisms of C(q). In the last section we introduce the Z/nZ-graded algebras and we study as well as the group of graded automorphisms for some of them.

Saggio sull'algebra degli immaginarii /

Mode of access: Internet.

K-invariantes en el algebra universal de un grupo de Lie semisimple

Tarea (A):(...) Trataremos de extender a Sp(n,1) los resultados conseguidos sobre la imagen del homomorfismo de Lepowsky cuando G es SO(n,1) ó SU(n,1). (...) Tarea (B): (...) Para todo grupo de Lie de rango uno, con rango (G) = rango (K), los elementos del álgebra B son W-invariantes y que este resultado ya ha sido establecido para los grupos SO(2n,1) y SU(n,1); durante el período correspondiente a este subsidio esperamos extender este resultado a todo grupo de Lie de rango uno con rango (G) = rango (K). Tarea (C): Durante este período esperamos también avanzar en la determinación del dual unitario del grupo Spin (2n,C).

L'esquema universal de clústers de 2-seccions d'una família de superfícies

Generalitzem el concepte de clúster de punts d'una superfície a clúster de seccions d'una família de superfícies per passar al cas relatiu, és a dir, a clústers de B-punts d'una B-superfície. Llavors definim, amb una propietat universal, la família universal de clusters de 2-seccions d'una família de superfícies, que, en cas que existir, és un esquema que parametritza tots els clústers de 2-seccions d'una famíla de superfícies. Demostrem la seva existencia sota certes hipotesis i trobem que es pot construir en termes de blowups a partir del producte de la família universal de seccions de la fmília de superficies per si mateixa. Al final del treball hi ha tres exemples que mostren part de la teoria estudiada.

Enciclopedia temática Lectus Vergara : álgebra, el álgebra no es tan aburida como parece.

En este cd pueden encontrarse los principales conceptos relacionados con el álgebra, así como ejemplos prácticos y ejercicios.

SIG e álgebra de mapas na elaboração de um mapa de potencial de erosão em áreas de silvicultura

Cette étude visait à générer une carte du potentiel d'érosion pour la Ferme Santa Edwirges, située à Lorena /SP. Les résultats ont etés classifiés en faible, modéré, élève et très élève potentiel d'érosion et la carte obtenue a été comparé par rapport aux autres cartes existantes pour la zone d'étude. La méthodologie proposée se basant sur une application qualitative simple L’équation Universelle de Perte de Sol (USLE ou EUPS), en considérant les parties de l'équation: érodibilité, la topographie et l'utilisation des terres. Les donnés ont etés intégrés par l'algèbre de carte dans l’environnement SIG de ArcGIS. Pour la représentation de chacune de ces parcelles, nous avons utilisé une carte des formations superficielles de la ferme, généré à partir d'une ré-interprétation de la carte géologique, une carte de la pente et une carte d'utilisation des terres, attribuant un poids d’important pour chaque catégorie de ces cartes dans le processus d'érosion et dans l'algèbre proposée. Les résultats obtenus sont compatibles avec les zones identifiées comme les plus critiques sur terrain. La ferme a été identifiée comme de potentiel d'érosion modérée et la partie sud de la ferme le plus critique, suivi du groupe conduit par la zone de cisaillement, par contre les plaines proches des rivières ont eté identifié comme la zone plus stable avec moins de potentiel d'érosionDe la comparaison des résultats de ce travail et d'autres qui ont fait antérieurement dans la zone d’intéresse, qui ont utilisé les paramètres géotechniques dans la représentation de l'érosivité des sols, nous avons pu voir des résultats similaires, en particulier dans les zones à potentiel élevé et faible pour l'érosion. De la discussion et analyse des résultats, la méthodologie proposée à eté validée

Aritmética universal, pura, testamentária, eclesiástica y comercial.

Mode of access: Internet.

Is There Justification For Universal Leukoreduction?

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Padrão fundamental de movimento : uma analise universal ou contextual?

Universidade Estadual de Campinas . Faculdade de Educação Física

Universal resistance capacitance crossover in current-voltage characteristics for unshunted array of overdamped Nb-AlOx-Nb Josephson junctions

We report on some unusual behavior of the measured current-voltage characteristics (CVC) in artificially prepared two-dimensional unshunted array of overdamped Nb-AlO(x)-Nb Josephson junctions. The obtained nonlinear CVC are found to exhibit a pronounced (and practically temperature independent) crossover at some current I(cr) = (1/2 beta(C)-1)I(C) from a resistance R dominated state with V(R)=R root I(2)-I(C)(2) below I(cr) to a capacitance C dominated state with V(C) = root(h) over bar /4eC root I-I(C) above I(cr). The origin of the observed behavior is discussed within a single-plaquette approximation assuming the conventional resistively shunted junction model with a finite capacitance and the Ambegaokar-Baratoff relation for the critical current of the single junction. (C) 2010 American Institute of Physics. [doi: 10.1063/1.3407566]

Universal and nonuniversal contributions to block-block entanglement in many-fermion systems

We calculate the entanglement entropy of blocks of size x embedded in a larger system of size L, by means of a combination of analytical and numerical techniques. The complete entanglement entropy in this case is a sum of three terms. One is a universal x- and L-dependent term, first predicted by Calabrese and Cardy, the second is a nonuniversal term arising from the thermodynamic limit, and the third is a finite size correction. We give an explicit expression for the second, nonuniversal, term for the one-dimensional Hubbard model, and numerically assess the importance of all three contributions by comparing to the entropy obtained from fully numerical diagonalization of the many-body Hamiltonian. We find that finite-size corrections are very small. The universal Calabrese-Cardy term is equally small for small blocks, but becomes larger for x > 1. In all investigated situations, however, the by far dominating contribution is the nonuniversal term stemming from the thermodynamic limit.

Universal zero-bias conductance through a quantum wire side-coupled to a quantum dot

A numerical renormalization-group study of the conductance through a quantum wire containing noninteracting electrons side-coupled to a quantum dot is reported. The temperature and the dot-energy dependence of the conductance are examined in the light of a recently derived linear mapping between the temperature-dependent conductance and the universal function describing the conductance for the symmetric Anderson model of a quantum wire with an embedded quantum dot. Two conduction paths, one traversing the wire, the other a bypass through the quantum dot, are identified. A gate potential applied to the quantum wire is shown to control the current through the bypass. When the potential favors transport through the wire, the conductance in the Kondo regime rises from nearly zero at low temperatures to nearly ballistic at high temperatures. When it favors the dot, the pattern is reversed: the conductance decays from nearly ballistic to nearly zero. When comparable currents flow through the two channels, the conductance is nearly temperature independent in the Kondo regime, and Fano antiresonances in the fixed-temperature plots of the conductance as a function of the dot-energy signal interference between them. Throughout the Kondo regime and, at low temperatures, even in the mixed-valence regime, the numerical data are in excellent agreement with the universal mapping.

Universal zero-bias conductance for the single-electron transistor

The thermal dependence of the zero-bias conductance for the single electron transistor is the target of two independent renormalization-group approaches, both based on the spin-degenerate Anderson impurity model. The first approach, an analytical derivation, maps the Kondo-regime conductance onto the universal conductance function for the particle-hole symmetric model. Linear, the mapping is parametrized by the Kondo temperature and the charge in the Kondo cloud. The second approach, a numerical renormalization-group computation of the conductance as a function the temperature and applied gate voltages offers a comprehensive view of zero-bias charge transport through the device. The first approach is exact in the Kondo regime; the second, essentially exact throughout the parametric space of the model. For illustrative purposes, conductance curves resulting from the two approaches are compared.

DJKM ALGEBRAS I: THEIR UNIVERSAL CENTRAL EXTENSION

The purpose of this paper is to explicitly describe in terms of generators and relations the universal central extension of the infinite dimensional Lie algebra, g circle times C[t, t(-1), u vertical bar u(2) = (t(2) - b(2))(t(2) - c(2))], appearing in the work of Date, Jimbo, Kashiwara and Miwa in their study of integrable systems arising from the Landau-Lifshitz differential equation.

Universal exhibitions and the cinema: history and culture

The objective of this article is to examine the presence of cinema in World Fairs between the 1893 World`s Columbian Exposition in Chicago and 1939 (the New York World`s Fair). As an integral part of a visual culture constructed by these spaces to celebrate capitalism, the trajectory of cinema is identified with these world fairs due to its ability to entertain and, at the same time, to educate. Cinema was established as a means of mass communication during the First World War and afterwards would participate more actively in the symbolic disputes of a world about to enter the second global conflict. It would reach a broader public, becoming the main `showcase` in which nations projected virtues to be celebrated. The new striking visual spectacle assumed, within this context, greater emphasis through films idealized as true cinematographic monuments.