Ulm, Univ., Diplomarbeit, 2008.

Thesis (M. Div.)--Emmanuel School of Religion, 2006. / Vita. Includes bibliographical references (leaves 115-116).

Tableau d'honneur de la Faculté des études supérieures et postdorales, 2014-2015 / La théorie des superpolynômes symétriques ([DLM03, DLM06]) est généralisée avec l’introduction d’une nouvelle base de superfonctions qui dépend de deux paramètres q et t. Cette nouvelle base, que l’on appelle les polynômes de Macdonald dans le superespace (ou simplement, les superpolynômes de Macdonald), généralise toutes les autres bases de superfonctions connues. Celles-ci sont retrouvées via différentes spécialisations (ou limites) de q et t. On démontre que les superpolynômes de Macdonald sont uniquement déterminés par les deux propriétés suivantes. Premièrement, ils se décomposent de façon triangulaire dans la base des superfonctions monomiales (par rapport à l’ordre de dominance entre les superpartitions). Deuxièmement, ils sont orthogonaux par rapport à un produit scalaire donné dans la base des superfonctions sommes de puissances et qui dépend de q, t. L’étape clef pour démontrer ce résultat est la connexion avec la théorie des polynômes non symétriques de Macdonald. En fait, il est montré que les superpolynômes de Macdonald sont également donnés par un processus de symétrisation particulier des polynômes non symétriques de Macdonald. Cette connexion peut être alors exploitée pour obtenir une famille d’opérateurs qui est diagonale dans la base des superpolynômes de Macdonald ainsi qu’une seconde relation d’orthogonalité donnée par l’évaluation d’un terme constant. Ces deux éléments, i.e. famille d’opérateurs et orthogonalité (analytique), permettent de relier les superpolynômes de Macdonald à un problème de mécanique quantique supersymétrique généralisant le modèle Ruijsenaars-Schneider (RS). L’hamiltonien de ce modèle est défini par l’anticommutateur d’une supercharge qui est le générateur de la transformation supersymétrique. La structure algébrique sous-jacente à ce modèle est l’algèbre de Poincaré supersymétrique (i.e. une algèbre de Lie graduée). Tous les états propres de l’hamiltonien sont donnés par le produit de la fonction d’onde de l’état du vide par les superpolynômes de Macdonald. L’intégrabilité du modèle est également démontrée. / The theory of symmetric superpolynomials ([DLM03, DLM06]) is further extended with the introduction of a family of superpolynomials that depends upon two parameters, denoted by q and t. This new basis, that can be called Macdonald polynomials in superspace (or simply stated, Macdonald superpolynomials), generalizes all the previously discovered bases of superpolynomials. These are obtained by the evaluation (or by a limiting process) of the parameters q and t. It is proved that the Macdonald superpolynomials are uniquely defined by the two following properties. First, they decompose triangularly in the monomial basis (with respect to a certain ordering between superpartitions). Second, they are orthogonal with respect to a given scalar product evaluated in the power sum basis and which depends on q and t. The crucial step to prove this result is the connection between Macdonald superpolynomials and the theory of non-symmetric Macdonald polynomials. More precisely, it is showed that the Macdonald superpolynomials can be expressed by a certain symmetrizer acting on the non-symmetric analogue. Using this connection, a family of eigen-operators is obtained, which is diagonalized by the Macdonald superpolynomals basis. In addition, another orthogonality relation that involves a constant term evaluation (referred to as the analytic orthogonality) is obtained. These two elements, i.e. the eigen-operators and the orthogonality (analytic), link the Macdonald superpolynomials to a supersymmetric quantum mechanic model that generalizes the Ruijsenaars-Schneider (RS) model. The Hamiltonian of this model is naturally written as an anticommutator of a supercharge which is the generator of supersymmetric transformation. The underlying algebra of this model is the super Poincaré algebra (i.e. a graded Lie algebra). All the quantum states of the Hamiltonian are given as a product of the ground state function times Macdonald superpolynomials. Finally, the integrability of the supersymmetric RS model is demonstrated.

This thesis discusses the Ruijsenaars-Schneider model and its connection to Calogero-Moser systems and the sine-Gordon equation. The derivations and mathematical framework presented aims at making the model comprehensible to non-experts in the field. Two different methods, the Bäcklund transformation and Ruijsenaars-Schneider model, are used to find soliton solutions to the sine-Gordon equation.

Le modèle de Ruijsenaars-Schneider trigonométrique (tRS) quantique est un problème à N corps relativiste intégrable qui généralise le modèle de Calogero-Moser- Sutherland trigonométrique (tCMS). Les fonctions propres du modèle tRS sont les polynômes de Macdonald. La limite non relativiste qui relie les modèles tRS et tCMS est la même qui lie les polynômes de Macdonald et de Jack, les fonctions propres du modèle tCMS. Le but de ce mémoire est d'explorer la possibilité d'étendre le succès obtenu avec l'extension supersymétrique du modèle tCMS au modèle tRS. Le cas échéant, les superpolynômes de Macdonald pourraient être définis. Dans l'approche considérée, obtenir un coproduit diagonal de l'algèbre de Hecke est essentiel, mais n'a pas été possible pour TV > 2. On présente donc les résultats partiels connus pour le cas supersymétrique à deux et trois variables ainsi que la nature des obstacles qui, jusqu'à maintenant, ont empêché d'obtenir la généralisation voulue.

Um die Rolle von Bx42 in der Regulation des Zellzyklus von Drosophila zu verstehen, habe ich die Auswirkungen der Expression von dominant negativen Bx42 Allel in Drosophila Augenimaginalscheiben untersucht, sowie die Auswirkungen der Bx42 Protein Abbau in Drosophila S2-Zellen mit Hilfe der RNA-Interferenz-Methode. In meiner Studie fand ich, dass die Expression von Bx42-SNW, einer abgeschnittenen dominant negative Version von Bx42, in den Augenimaginalscheiben zu kleinen und groben Augen führte. Analyse des Zellzyklus in den betroffenen Scheiben zeigte keine signifikanten Unterschiede in der Anzahl der S-Phase-Zellen, aber eine starke Reduktion der mitotischen Zellen und die Herunterregulation von Cyc A und B Cyc in dem normalen mitotischen aktiven SMW Bereich des Augenimaginalscheibes. Ziel dieser Studie war auch Faktoren zu finden, die den kleinen Augenphänotyp von Überexpression der negativen Form Bx42-SNW modifizieren können. Die definierten Modifikatoren waren E2F / Dp, Rb, Tribbles, Cdk1, Cyclin B3, EGFR, Dpp und Armadillo. Um weitere Einblicke in der Rolle des Bx42 in Proliferation, dsRNA-vermittelte Knockdown der Expression von Bx42 in S2-Zellen verwendet wurde. Zellen, die mit dsRNA behandelt wurden, zeigten eine signifikante Abnahme der Proliferationsraten im Vergleich zu kontrol dsRNA-OFP-Zellen. Zellzyklusanalyse zeigte, dass die Herunterregulation von Bx42 Zellpopulationen in der G1 und G2 Phasen verringerte, gleichzeitig S-Phasen-Zellen durch Zyklusarrest vermehrete, was führte zu einem Zustand, die Zellen unfähig die zellteilung zu vervollständigen. Semi q-RT-PCR ergab, dass die Herunterregulation von Bx42 die Transkription von E2F, Dap, Cyc A und Cyc B beeinflusst. Eine Reduktion von Cyc A und Cyc B auf Proteinebene wurde auch nachgewiesen. / In order to understand the role of Bx42 in cell cycle regulation of Drosophila, I have investigated the effects of the expression of dominant negative Bx42 allele in Drosophila eye imaginal discs, as well as the effects of depleting the Bx42 protein in Drosophila S2 cells by RNAi. In my study, I found that the expression of Bx42-SNW, a truncated dominant negative version of Bx42, in eye imaginal discs resulted in small and rough eyes. Analyzing the cell cycle in the affected discs showed no significant differences in the number of S-phase cells, but a strong reduction of mitotic cells and the downregulation of Cyc A and Cyc B in the normally mitotic active SMW region of the eye disc. This study aimed also at finding factors that modify the small eye phenotype resulting from overexpression of Bx42-SNW in the eye. The defined modifiers were E2F/Dp, Rb, Tribbles, Cdk1, Cyclin B3, EGFR, Dpp and Armadillo. To gain further insight into the role of Bx42 in proliferation, dsRNA-mediated knockdown the expression of Bx42 was employed in S2 cells. Cells treated with dsRNA exhibited a significant decrease in proliferation rates compared to control dsRNA-OFP cells. Cell cycle analysis demonstrated that down-regulation of Bx42 decreased cell populations in the G1& G2 phases simultaneously augmenting S-phase cells by cycle arrest, leading to a state unable to complete cell division. Semi q-RT PCR, revealed that downregulation of Bx42 affects the transcription of E2F, Dap, Cyc A and Cyc B. A reduction of Cyc A and Cyc B was also demonstrated at the protein level.

No description available.

Thesis (Ph. D.)--McGill University, 2008. / Written for the Dept. of German Studies. Includes bibliographical references.

No description available.

Este trabalho constitui-se como um estudo analítico da obra musical sacra do compositor Porto Alegrense Leo Schneider (1910-1978) baseado em uma seleção de suas principais composições sacras. É dada especial ênfase no estudo da singularidade de seu projeto estético e suas possibilidades como instrumento de educação religiosa. Na primeira parte é mostrada a trajetória pessoal de Leo Schneider, desde suas origens familiares, passando por sua educação formal e musical, ressaltando o ambiente em que viveu e o panorama cultural, social e político de sua época. São focados também aspectos musicais dos principais compositores brasileiros de sua época e também breves considerações sobre o panorama internacional da música de sua época. A ênfase é dada às composições de caráter sacro da época no confronto entre a obra de Leo e seus contemporâneos, buscando também oferecer uma visão da sua obra no contexto das comunidades protestantes em especial as luteranas. Na segunda parte da pesquisa é abordado um olhar sobre a importância do pensamento de Martim Lutero na vida e obra de Leo Schneider, principalmente no que diz respeito aos princípios do reformador quanto ao sentido e o uso da música na igreja. A terceira parte da pesquisa é uma análise de cinco das principais composições de caráter sacro de Leo Schneider, composições estas estudadas em seus aspectos musicais e literários, de maneira a tecer relações de caráter pedagógico nas áreas da música, da teologia e da educação religiosa, demonstrando o lado prático do compositor, visto como um diligente e criativo artista a serviço dos ensinamentos do Evangelho através da música. / This dissertation proposes an analysis of the sacred musical work by Porto Alegre composer Léo Schneider (1910-1978) based on a selection of his major sacred compositions. It emphasizes the uniqueness of Schneiders esthetic project and its possibilities as a tool for religious education. The first part of the research introduces Leo Schneiders personal history, from his family background to his formal and musical education, pointing out the environment in which he lived and the cultural, social and political background of his time. Musical aspects of the major Brazilian composers of his time and the international musical scenario of the period will also be taken into consideration. The focus is on sacred compositions of Schneiders time through a parallel between his work and that of his contemporaries, but the research also provides an understanding of his work within the context of protestant communities, especially Lutheran. The second part of the dissertation addresses the influence of Martin Luthers ideas on Leo Schneiders life and work, particularly the reformers principles towards the meaning and the use of music in the church. The third part of the research analyzes five of Schneiders major sacred compositions, taking into account their musical and literary aspects so as to draw pedagogic connections in the fields of music, theology and religious education, stressing out the practical side of the composer, a diligent and creative artist at the service of the Gospel teaching through music.