55 resultados para Drinfeld Twists
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Universidade Estadual de Campinas . Faculdade de Educação Física
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In this work we investigate several important aspects of the structure theory of the recently introduced quasi-Hopf superalgebras (QHSAs), which play a fundamental role in knot theory and integrable systems. In particular we introduce the opposite structure and prove in detail (for the graded case) Drinfeld's result that the coproduct Delta ' =_ (S circle times S) (.) T (.) Delta (.) S-1 induced on a QHSA is obtained from the coproduct Delta by twisting. The corresponding "Drinfeld twist" F-D is explicitly constructed, as well as its inverse, and we investigate the complete QHSA associated with Delta '. We give a universal proof that the coassociator Phi ' = (S circle times S circle times S) Phi (321) and canonical elements alpha ' = S(beta), beta ' = S(alpha) correspond to twisting, the original coassociator Phi = Phi (123) and canonical elements alpha, beta with the Drinfeld twist F-D. Moreover in the quasi-tri angular case, it is shown algebraically that the R-matrix R ' = (S circle times S)R corresponds to twisting the original R-matrix R with F-D. This has important consequences in knot theory, which will be investigated elsewhere.
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The main problem with current approaches to quantum computing is the difficulty of establishing and maintaining entanglement. A Topological Quantum Computer (TQC) aims to overcome this by using different physical processes that are topological in nature and which are less susceptible to disturbance by the environment. In a (2+1)-dimensional system, pseudoparticles called anyons have statistics that fall somewhere between bosons and fermions. The exchange of two anyons, an effect called braiding from knot theory, can occur in two different ways. The quantum states corresponding to the two elementary braids constitute a two-state system allowing the definition of a computational basis. Quantum gates can be built up from patterns of braids and for quantum computing it is essential that the operator describing the braiding-the R-matrix-be described by a unitary operator. The physics of anyonic systems is governed by quantum groups, in particular the quasi-triangular Hopf algebras obtained from finite groups by the application of the Drinfeld quantum double construction. Their representation theory has been described in detail by Gould and Tsohantjis, and in this review article we relate the work of Gould to TQC schemes, particularly that of Kauffman.
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We introduce the super-Yangian double DY(h over bar), [gl(m/n)] and its central extension DY(h over bar)[gl(m/n)]. We give their defining relations in terms of current generators and obtain Drinfeld co-multiplication. (C) 1997 Elsevier Science B.V.
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Dissertação apresentada à Escola Superior de Comunicação Social como parte dos requisitos para obtenção de grau de mestre em Jornalismo.
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The main goal of this article is to give an explicit rigid analytic uniformization of the maximal toric quotient of the Jacobian of a Shimura curve over Q at a prime dividing exactly the level. This result can be viewed as complementary to the classical theorem of Cerednik and Drinfeld which provides rigid analytic uniformizations at primes dividing the discriminant. As a corollary, we offer a proof of a conjecture formulated by M. Greenberg in hispaper on Stark-Heegner points and quaternionic Shimura curves, thus making Greenberg's construction of local points on elliptic curves over Q unconditional.
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When referenced, the 2012 edition of the Iowa Department of Transportation’s (Iowa DOT) Standard Specifications for Highway and Bridge Construction shall be used for contract work awarded by the Iowa DOT. They may also be incorporated by reference in other contract work on secondary, urban, local systems, or other contract work in which the Iowa DOT has an interest. As modified by the General Supplemental Specifications, these Standard Specifications represent the minimum requirements and may be modified by Supplemental Specifications, Developmental Specifications, and Special Provisions on specific contracts. These Standard Specifications have been written so the Contractor’s responsibilities are indicated by plain language using the Imperative Mood and Active Voice form. Sentences are of the form: Construct isolation joints at all points where driveways meet other walks, curbs, or fixtures in the surface. Ensure finished members are true to detailed dimensions and free from twists, bends, open joints, or other defects resulting from faulty fabrication or defective work. Personnel preparing the JMF shall be Iowa DOT certified in bituminous mix design. The Contracting Authority’s responsibilities are (with some exceptions) indicated by the use of the modal verb “will”. Sentences are of the form: The Engineer will obtain and test density samples for each lot according to Materials I.M. 204. Payment will be the contract unit price for Fabric Reinforcement per square yard (square meter). These standard specifications contain dual units of measure: the United States Standard measure (English units) and the International System of Units (SI or “metric” units). The English units are expressed first then followed by the metric units in parentheses. The measurements expressed in the two systems are not necessarily equal. In some cases the measurements in metric units is a “hard” conversion of the English measurement; i.e. the metric unit has been approximated with a rounded, rationalized metric measurement that is easy to work with and remember. The proposal form will identify whether the work was designed and shall be constructed in English or metric units.
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Tämä diplomityö on tehty Patria Vehicles Oy:n toimeksiannosta. Patria Vehicles Oy:n tuotantoon kuuluvat vaativiin maasto-olosuhteisiin soveltuvat sotilasajoneuvot sekä teleskooppimastot. Tutkimuksen tarkoituksena oli mallintaa mastoperävaunusta joustava malli, johon vaikuttavat tuulikuormat. Mallin avulla voidaan tutkia maston siirtymiä, kallistumia sekä kiertymiä. Tutkimuksessa on käytetty ADAMS-simulointiohjelmistoa sekä I-DEAS- FEM ohjelmistoa. Dynaamisten ongelmien ratkaisemiseksi on ymmärrettävä rakenteiden käyttäytymistä. Tuulikuormien mallintamisen edellytyksenä on tuulikuormien syntymisen ymmärtäminen. Tämän työn peruslähtökohtana on mallintaa kaikki maston jäykkyyteen vaikuttavat komponentit joustavina FE-menetelmän avulla. Luodaan superelementit Craig-Bamptonin ominaismuotojen superponointimenetelmällä. Nämä superelementit liitetään toisiinsa ja asetetaan niille tuulikuormat. Luodaan kosketukset puomien, sekä maan ja maston välille. Pienennetään joustavien osien ominaismuotojen määrää, jotta saataisiin nopeammat analyysit. Parametrisoidaan malli, jolloin voidaan analysoida mallilla useampia tapauksia. Verifioidaan malli varmistaaksemme sen oikeellisuuden. Taulukoidaan tulokset.
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A case of torsion of the gallbladder is presented. This is a rare condition that occurs when it is associated with anatomical variants related to abnormal fixation of the gallbladder to the liver bed. The blood irrigation is insufficient and the gallbladder develops necrosis. The abnormal implantation occurs in 4% of the population. If the gallbladder losses its fixations to the inferior margin of the liver with the presence of a 1011.g mesocyst a torsion can occur when this gallbladder twists axially with subsequent occlusion of the blood flow. The signs and symptoms are similar to those of severe acute cholecystitis: abrupt onset of the pain and large palpable mass below the right costal margin. The ultrasound can show a very large and anteriorly floating gallbladder: In this case, the ultrasound did not show any abnormal signs, so it is usually diagnosed at laparotomy and the treatement consists of cholecystectomy. This condition should be suspected in acute abdominal pain of unknown origin.
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As an increasing number of genetic tests for specific early- and late-onset disorders move from research to the clinical setting, health care professionals are faced with new challenges or, alternatively, with novel twists on age-old ethical dilemmas. A finding that an individual carries a deleterious mutation can indicate that his or her relatives are at an increased risk of being affected by the same genetic disorder.
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Diese Arbeit beschäftigt sich mit der Frage, wie sich in einer Familie von abelschen t-Moduln die Teilfamilie der uniformisierbaren t-Moduln beschreiben lässt. Abelsche t-Moduln sind höherdimensionale Verallgemeinerungen von Drinfeld-Moduln über algebraischen Funktionenkörpern. Bekanntermaßen lassen sich Drinfeld-Moduln in allgemeiner Charakteristik durch analytische Tori parametrisieren. Diese Tatsache überträgt sich allerdings nur auf manche t-Moduln, die man als uniformisierbar bezeichnet. Die Situation hat eine gewisse Analogie zur Theorie von elliptischen Kurven, Tori und abelschen Varietäten über den komplexen Zahlen. Um zu entscheiden, ob ein t-Modul in diesem Sinne uniformisierbar ist, wendet man ein Kriterium von Anderson an, das die rigide analytische Trivialität der zugehörigen t-Motive zum Inhalt hat. Wir wenden dieses Kriterium auf eine Familie von zweidimensionalen t-Moduln vom Rang vier an, die von Koeffizienten a,b,c,d abhängen, und gelangen dabei zur äquivalenten Fragestellung nach der Konvergenz von gewissen rekursiv definierten Folgen. Das Konvergenzverhalten dieser Folgen lässt sich mit Hilfe von Newtonpolygonen gut untersuchen. Schließlich erhält man durch dieses Vorgehen einfach formulierte Bedingungen an die Koeffizienten a,b,c,d, die einerseits die Uniformisierbarkeit garantieren oder andererseits diese ausschließen.
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A inclusão de alunos com Necessidades Educativas Especiais, na especificidade «Distúrbio Hiperactividade com Défice de Atenção» em turmas do Ensino regular, requer alguma prudência, pois as opiniões são muitas e por vezes controversas. A inclusão, é um modelo educacional, que contém vantagens e desvantagens na sua aplicação. No entanto, um modelo educacional que contemple a inclusão deve ser dirigido a todos os alunos, com vista ao sucesso e tendo em conta o ritmo próprio de cada um. Neste âmbito, avaliar o conhecimento dos docentes acerca da hiperactividade, conhecer a opinião dos professores relativa ao processo de inclusão de alunos com DHDA, bem como a utilização de terapias e ainda o modo como os professores olham para a resposta que a escola dará no futuro às crianças hiperactivas foi a meta traçada para a nossa investigação. A amostra foi constituída por 50 professores dos vários níveis de ensino que residem na cidade do Fundão. O questionário foi o instrumento de trabalho utilizado para avaliar os dados do estudo. Como resultados do estudo, verifica-se que de um modo geral todos os docentes conhecem o distúrbio DHDA e as causas que indiciam este distúrbio, sendo o factor hereditário o mais apontado. Na questão da inclusão de alunos portadores de DHDA todos os inquiridos consideram válido o seu percurso no ensino regular. Referem, também que a experiência profissional, a formação e as terapias são também uma mais-valia na relação com estes alunos. O trabalho desenvolvido com estas crianças é caracterizado pelos docentes como difícil mas motivante. Numa panorâmica futura para a Educação Especial os docentes entendem ser necessário produzir mudanças que vão ao encontro destes alunos. O trilho percorrido é positivo, porém, muito mais temos que percorrer para evitar a discriminação a todos aqueles a quem a vida trocou as voltas e nasceram diferentes, oferecendo a todos as mesmas oportunidades, que é uma escola inclusiva.
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X-ray crystal structure shows that 3,5-dimethyl-1-(2-nitrophenyl)-1H-pyrazole (DNP) belongs to the rare class of helically twisted synthetic organic molecules. Hydrogenation of DNP gives 2-(3,5-dimethylpyrazole-1-yl)phenylamine (L) which on methylation yields [2-(3,5-dimethylpyrazole-1-yl)phenyl]dimethylamine (L'). Two Pd(II) complexes, PdLCl2 (1) and PdL'Cl-2 (2), are synthesized and characterized by NMR. X-ray crystallography reveals that 1 and 2 are unprecedented square planar complexes which possess well discernible helical twists. (C) 2007 Elsevier B.V. All rights reserved.
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This paper considers left-invariant control systems defined on the orthonormal frame bundles of simply connected manifolds of constant sectional curvature, namely the space forms Euclidean space E-3, the sphere S-3 and Hyperboloid H-3 with the corresponding frame bundles equal to the Euclidean group of motions SE(3), the rotation group SO(4) and the Lorentz group SO(1, 3). Orthonormal frame bundles of space forms coincide with their isometry groups and therefore the focus shifts to left-invariant control systems defined on Lie groups. In this paper a method for integrating these systems is given where the controls are time-independent. In the Euclidean case the elements of the Lie algebra se(3) are often referred to as twists. For constant twist motions, the corresponding curves g(t) is an element of SE(3) are known as screw motions, given in closed form by using the well known Rodrigues' formula. However, this formula is only applicable to the Euclidean case. This paper gives a method for computing the non-Euclidean screw motions in closed form. This involves decoupling the system into two lower dimensional systems using the double cover properties of Lie groups, then the lower dimensional systems are solved explicitly in closed form.
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In this paper, we extend to the time-harmonic Maxwell equations the p-version analysis technique developed in [R. Hiptmair, A. Moiola and I. Perugia, Plane wave discontinuous Galerkin methods for the 2D Helmholtz equation: analysis of the p-version, SIAM J. Numer. Anal., 49 (2011), 264-284] for Trefftz-discontinuous Galerkin approximations of the Helmholtz problem. While error estimates in a mesh-skeleton norm are derived parallel to the Helmholtz case, the derivation of estimates in a mesh-independent norm requires new twists in the duality argument. The particular case where the local Trefftz approximation spaces are built of vector-valued plane wave functions is considered, and convergence rates are derived.