11 resultados para Drinfeld Twists

em Repositório Institucional UNESP - Universidade Estadual Paulista "Julio de Mesquita Filho"


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Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

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Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

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Toda lattice hierarchy and the associated matrix formulation of the 2M-boson KP hierarchies provide a framework for the Drinfeld-Sokolov reduction scheme realized through Hamiltonian action within the second KP Poisson bracket. By working with free currents, which Abelianize the second KP Hamiltonian structure, we are able to obtain a unified formalism for the reduced SL(M + 1, M - k) KdV hierarchies interpolating between the ordinary KP and KdV hierarchies. The corresponding Lax operators are given as superdeterminants of graded SL(M + 1, M - k) matrices in the diagonal gauge and we describe their bracket structure and field content. In particular, we provide explicit free field representations of the associated W(M, M - k) Poisson bracket algebras generalising the familiar nonlinear W-M+1 algebra. Discrete Backlund transformations for SL(M + 1, M - k) KdV are generated naturally from lattice translations in the underlying Toda-like hierarchy. As an application we demonstrate the equivalence of the two-matrix string model to the SL(M + 1, 1) KdV hierarchy.

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We present a new realization of scalar integrable hierarchies in terms of the Toda lattice hierarchy. In other words, we show on a large number of examples that an integrable hierarchy, defined by a pseudo-differential Lax operator, can be embedded in the Toda lattice hierarchy. Such a realization in terms the Toda lattice hierarchy seems to be as general as the Drinfeld-Sokolov realization.

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We formulate the constrained KP hierarchy (denoted by cKP K+1,M) as an affine sl(M + K+ 1) matrix integrable hierarchy generalizing the Drinfeld-Sokolov hierarchy. Using an algebraic approach, including the graded structure of the generalized Drinfeld-Sokolov hierarchy, we are able to find several new universal results valid for the cKP hierarchy. In particular, our method yields a closed expression for the second bracket obtained through Dirac reduction of any untwisted affine Kac-Moody current algebra. An explicit example is given for the case sl(M + K + 1), for which a closed expression for the general recursion operator is also obtained. We show how isospectral flows are characterized and grouped according to the semisimple non-regular element E of sl(M + K+ 1) and the content of the center of the kernel of E. © 1997 American Institute of Physics.

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Pós-graduação em Cirurgia Veterinária - FCAV

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

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This study has as main objective to identify the complains occurrences about pain in the spine segments, that are related to work standing posture, adopted by the collaborators in the production section of a food industry, in the city of Marília São Paulo state. A descriptive research and studying case was made, using 30 employees as a sample. It was used as methodological procedure, a questionnaire to obtain information on professional and personal data, posture to remain standing, the most uncomfortable postures in the work environment (signed by the form of Ranney, 2000) and pain (pointed out by Corllet and Manenica Diagram, 1980). It was also used the Nordic questionnaire (Kuorioka et al.,1986), validated in the Brazilian culture by Barros e Alexandre (2003) and adapted for the study, the direct evaluation and, a direct observation was made in the production work, a posture analysis using the OWAS Method. It was noticed that the posture of standing up is adopted during work, and 73.3% of the people that was interviewed said that they felt tired in consequence of this posture, especially when associated with trunk twists, trunk inclination and elevation of their arms above their heads. Most complains regarding pain through their bodies, by Corllet e Manenica (1980) pointed to the lumbar region, followed in the dorsal area and legs and in the neck area, shoulders and right thigh. The adapted Nordic questionnaire reveled the lumbar area, in 10 interviewed people (33.3%) as the area mostaffected by musculoskeletal symptoms, next in the dorsal area, with five people interviewed (16.7%) and one of them (3.3%) felt pain in the cervical area, none reported pain in the hips area. The postural analysis was applied using OWAS method, and it was identified the postures that demanded more effort in the four levels of musculoskeletal injuries. As conclusion, the standing up posture and the asymmetric and incorrect movements are related to pain in the spine, mostly in the lumbar area.

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This study has as main objective to identify the complains occurrences about pain in the spine segments, that are related to work standing posture, adopted by the collaborators in the production section of a food industry, in the city of Marília São Paulo state. A descriptive research and studying case was made, using 30 employees as a sample. It was used as methodological procedure, a questionnaire to obtain information on professional and personal data, posture to remain standing, the most uncomfortable postures in the work environment (signed by the form of Ranney, 2000) and pain (pointed out by Corllet and Manenica Diagram, 1980). It was also used the Nordic questionnaire (Kuorioka et al.,1986), validated in the Brazilian culture by Barros e Alexandre (2003) and adapted for the study, the direct evaluation and, a direct observation was made in the production work, a posture analysis using the OWAS Method. It was noticed that the posture of standing up is adopted during work, and 73.3% of the people that was interviewed said that they felt tired in consequence of this posture, especially when associated with trunk twists, trunk inclination and elevation of their arms above their heads. Most complains regarding pain through their bodies, by Corllet e Manenica (1980) pointed to the lumbar region, followed in the dorsal area and legs and in the neck area, shoulders and right thigh. The adapted Nordic questionnaire reveled the lumbar area, in 10 interviewed people (33.3%) as the area mostaffected by musculoskeletal symptoms, next in the dorsal area, with five people interviewed (16.7%) and one of them (3.3%) felt pain in the cervical area, none reported pain in the hips area. The postural analysis was applied using OWAS method, and it was identified the postures that demanded more effort in the four levels of musculoskeletal injuries. As conclusion, the standing up posture and the asymmetric and incorrect movements are related to pain in the spine, mostly in the lumbar area.