1,005 research outputs found

    Les vecteurs singuliers de l'algèbre superconforme dans le secteur de Ramond en termes de superpolynômes de Jack

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    Ce mémoire fait état des résultats obtenus concernant les vecteurs singuliers de l’algèbre superconforme dans le secteur de Ramond. Une formule explicite exprimant ces vecteurs singuliers a été obtenue en termes de superpolynômes de Jack via la représentation de l’algèbre superconforme en termes de superpolynômes symétriques. On présente d’abord les partitions d’entiers et les fonctions symétriques standards. Ceci permet d’introduire les fonctions propres du modèle Calogero-Sutherland (CS) en termes de polynômes de Jack qui se révèlent être une représentation efficace des vecteurs singuliers de l’algèbre conforme. Suivant cette piste, on procède à la supersymétrisation du modèle CS ce qui permet de générer les superpolynômes de Jack, polynômes symétriques dans le superespace. On présente finalement la formule explicite des vecteurs singuliers de l’algèbre superconforme en termes de superpolynômes de Jack.This mémoire presents results concerning the Ramond singular vectors of the superconformal algebra. An explicit formula has been obtained for the Ramond singular vectors of the superconformal algebra via its superpolynomial representation and the formula is given here in terms of Jack superpolynomials. We first present some basic elements of the integer partition and symmetric functions theories. This leads us to consider the eigenfunctions of the Calogero-Sutherland (CS) model, the Jack polynomials. These happen to be the singular vectors of the conformal algebra when represented in terms of symmetric polynomials. Given those results, we extend the CS model to the supersymmetric case and interpret its eigenfunctions as the Jack superpolynomials which are symmetric functions in superspace. We then display the explicit formula of the Ramond singular vectors of the superconformal algebra which has been obtained in terms of Jack superpolynomials

    MATHIEU Cécile

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    M.Filet, éleveu

    Analysis of Mathieu Equation Stable Solutions in the First Zone of Stability

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    AbstractThe paper presents the results of a homogeneous Mathieu equation studies. Mathieu equation solutions are oscillations, modulated in amplitude and frequency. In the computational experiments we found dependences of the given oscillations on the ratio of the coefficients. These dependences are shown in graphs that can be used for an approximate estimation of the Mathieu equation solutions without integration

    Pensar las escalas para pensar las luchas: Autor: Mathieu UHEL

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    A través de un título sugerente, “pensar las escalas para pensar las luchas”, Mathieu Uhel entreteje la construcción teórico-crítica del concepto escala, generada por la geografía radical anglosajona de finales del siglo XX, con la necesidad/utilidad práctica de la escala para concienciar las luchas sociales. El artículo cumple un doble propósito: por un lado, delinear los elementos de lectura sobre el concepto escala; y, con ello, promover la atención de esta problemática en las luchas contemporáneas. En un primer apartado, Uhel ubica las discusiones académicas en torno a la escala, como herramienta metodológica útil para comprender la complejidad de las sociedades capitalistas; en el segundo apartado, el autor avanza la exposición en torno al contexto de la dimensión escalar del imperialismo capitalista; finalmente, el autor se centra en el rol de la actividad política a escala nacional en la tensa relación entre las imposiciones del capital y la lucha social.Por meio de um título sugestivo, “pensando escalas para pensar lutas”, Mathieu Uhel entrelaça a construção teórico-crítica do conceito de escala, gerado pela geografia radical anglo-saxônica do final do século XX, com a necessidade / utilidade prática escala para aumentar a consciência das lutas sociais. O artigo tem um duplo propósito: por um lado, delinear os elementos de leitura sobre o conceito de escala; e, com isso, promover atenção a esse problema nas lutas contemporâneas. Na primeira seção, Uhel localiza as discussões acadêmicas em torno da escala, como uma ferramenta metodológica útil para compreender a complexidade das sociedades capitalistas; na segunda seção, o autor avança a exposição em torno do contexto da dimensão escalar do imperialismo capitalista; por fim, o autor enfoca o papel da atividade política em escala nacional na tensa relação entre as imposições do capital e a luta social.Mathieu Uhel\u27s suggestive title, “Thinking about scales to think about struggles”, he interweaves the theoretical-critical construction of concept scale, generated by radical Anglo-Saxon geography in the late 20th century, with it´s practical utility to social struggles. The article serves two purposes: on the one hand, Uhel locates academic discussion around scale; and, with this, he promotes attention to this problem in contemporary struggles. In the first section, Uhel locates academic discussions around scale, as a useful methodological tool to understand the complexity of capitalist societies; in the second section, the author advances the argument around the context of the scalar dimension of capitalist imperialism; finally, the author focuses on the role of political activity on a national scale in the tense relationship between the impositions of capital and the social movement

    Mathieu Ichou, Les Enfants d’immigrés à l’école

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    It is common to hear in the fields of educational and immigration sociology that on average, the children of immigrants do not perform as well in school as children of native-born parents. Mathieu Ichou offers an innovative sociological analysis on a topic that is heavily exploited by political and media discourse, and subject to much scientific controversy. The author takes distance from the homogenized vision of a “second generation” of students who have totally failed academically, and rep..

    Beyond Mathieu Moonshine: a look at large N = 4 Algebras.

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    \small{The conformal field theory approach to calculate the elliptic genus of K3K3 surfaces has revealed the Mathieu moonshine phenomenon, which highlights relations between the `small' N=4\mathcal N=4 superconformal algebra at central charge c=6c=6, the sporadic group Mathieu 24 and mock modular forms. Here we take a look at a family of 'large' N=4\mathcal N=4 superconformal algebras, labelled \mathcal A_\gamma, \gamma \in [\hf, \infty [ (from which one can recover the small N=4\mathcal N=4 algebras in some limit), in the hope that a moonshine-like phenomenon might be observed. We consider realizations of Aγ\mathcal A_\gamma and its closely related family of non-linear algebras \Atg on SU(3)=WS(3)×SU(2)×U(1)SU(3)=WS(3)\times SU(2)\times U(1), where WS(3)WS(3) is a 4-dimensional Wolf space, i.e. a quaternionic symmetric space. The underlying physical models are supersymmetric Wess-Zumino-Novikov-Witten models describing superstring propagation on the SU(3)SU(3) group manifold, for which explicit partition functions can be constructed. In order to exhibit the \Atg (and Aγ\mathcal A_\gamma) symmetries of these models at the level of partition functions, we construct character sum rules which encode how products of affine su(3)^\widehat{su(3)} characters with a character for four `Wolf space' fermions decompose as sums of \Atg characters. We find close analytic forms for the corresponding branching functions in a theory with \Atg symmetry where the levels of the two affine su(2)^\widehat{su(2)} subalgebras of \Atg are \ktp=2 and \ktm=1, and we discover that they form a vector-valued mock modular form of weight 1/21/2. To arrive at this result, we used the transformation laws of the \Atg characters under the modular group SL(2,Z)SL(2, \mathbb{Z}), which we derive in the twisted Ramond sector.

    L'impatto dell'attività tintoria sull'ambiente. Firenze alla fine del Medioevo

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    The author aims to examine and categorize the range of dyeings materials used in the Florentine wool and silk textile industries in the late Middle Ages, focusing mainly on those produced within the regional space in order to evaluate the impact of the Florentine dyeing activity on the natural environment and the productive landscape of the Tuscan countryside. In particular, the author establishes a line of demarcation between cultivated and uncultivated resources in order to verify which constitutes an indication of the level of industrial development of medieval textile production. This further focuses on how the transition from the exploitation of wild resources to the exploitation of cultivated resources could reflect a greater degree of economic integration between the countryside and the city and contribute to the formation of a regional economic space

    Mathieu de Fossey: su visión del mundo indígena mexicano

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    Throughout these pages the author shows how Mathieu de Fossey perceived that it was not easy to make indigenous communities fit within the mould of the nation-state which, being based on the liberal and egualitarian ideology, was against the recognition of special regimes, such as those that created a peculiar status for the native population of the American territory during the period of Spanish colonial domination

    Mathieu de Fossey: su visión del mundo indígena mexicano

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    À travers ces pages, l’auteur montre comment Mathieu de Fossey avait perçu la difficulté d’insérer le monde des communautés indigènes dans le moule d’un État national qui, accroché à une idéologie libérale égalitaire, refusait d’établir des régimes spéciaux comparables à ceux qui, durant la domination espagnole, avaient reconnu un statut particulier aux populations natives du continent américain.A través de estas páginas se muestra cómo Mathieu de Fossey percibió el difícil acoplamiento del mundo de las comunidades indígenas en el molde de un Estado nacional que, por estar sustentado en la ideología liberal igualitaria, era contrario al reconocimiento de regímenes especiales como los que, durante la dominación española, habían establecido un status peculiar para los aborígenes del territorio americano.Throughout these pages the author shows how Mathieu de Fossey perceived that it was not easy to make indigenous communities fit within the mould of the nation-state which, being based on the liberal and egualitarian ideology, was against the recognition of special regimes, such as those that created a peculiar status for the native population of the American territory during the period of Spanish colonial domination
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