Twisted quantum affine superalgebra Uq[gl(m|n)(2)] and new Uq[osp(m|n)] invariant R-matrices

The minimal irreducible representations of U-q[gl(m|n)], i.e. those irreducible representations that are also irreducible under U-q[osp(m|n)] are investigated and shown to be affinizable to give irreducible representations of the twisted quantum affine superalgebra U-q[gl(m|n)((2))]. The U-q[osp(m|n)] invariant R-matrices corresponding to the tensor product of any two minimal representations are constructed, thus extending our twisted tensor product graph method to the supersymmetric case. These give new solutions to the spectral-dependent graded Yang-Baxter equation arising from U-q[gl(m|n)((2))], which exhibit novel features not previously seen in the untwisted or non-super cases.

A unified and complete construction of all finite dimensional irreducible representations of gl(2|2)

Representations of the non-semisimple superalgebra gl(2/2) in the standard basis are investigated by means of the vector coherent state method and boson-fermion realization. All finite-dimensional irreducible typical and atypical representations and lowest weight (indecomposable) Kac modules of gl(2/2) are constructed explicity through the explicit construction of all gl(2) circle plus gl(2) particle states (multiplets) in terms of boson and fermion creation operators in the super-Fock space. This gives a unified and complete treatment of finite-dimensional representations of gl(2/2) in explicit form, essential for the construction of primary fields of the corresponding current superalgebra at arbitrary level.

Eigenvalues of Casimir operators for gl(m/infinity)

A full set of Casimir operators for the Lie superalgebra gl(m/infinity) is constructed and shown to be well defined in the category O-FS generated by the highest-weight irreducible representations with only a finite number of non-zero weight components. The eigenvalues of these Casimir operators are determined explicitly in terms of the highest weight. Characteristic identities satisfied by certain (infinite) matrices with entries from gl(m/infinity) are also determined.

Quasispin graded-fermion formalism and gl(m vertical bar n)down arrow osp(m vertical bar n) branching rules

The graded-fermion algebra and quasispin formalism are introduced and applied to obtain the gl(m\n)down arrow osp(m\n) branching rules for the two- column tensor irreducible representations of gl(m\n), for the case m less than or equal to n(n > 2). In the case m < n, all such irreducible representations of gl(m\n) are shown to be completely reducible as representations of osp(m\n). This is also shown to be true for the case m=n, except for the spin-singlet representations, which contain an indecomposable representation of osp(m\n) with composition length 3. These branching rules are given in fully explicit form. (C) 1999 American Institute of Physics. [S0022-2488(99)04410-2].

Eigenvalues of Casimir invariants for unitary irreps of Uq(gl(m vertical bar n))

A fully explicit formula for the eigenvalues of Casimir invariants for U-q(gl(m/n)) is given which applies to all unitary irreps. This is achieved by making some interesting observations on atypicality indices for irreps occurring in the tensor product of unitary irreps of the same type. These results have applications in the determination of link polynomials arising from unitary irreps of U-q(gl(m/n)).

Casimir invariants and characteristic identities for gl(infinity)

A full set of (higher-order) Casimir invariants for the Lie algebra gl(infinity) is constructed and shown to be well defined in the category O-FS generated by the highest weight (unitarizable) irreducible representations with only a finite number of nonzero weight components. Moreover, the eigenvalues of these Casimir invariants are determined explicitly in terms of the highest weight. Characteristic identities satisfied by certain (infinite) matrices with entries from gl(infinity) are also determined and generalize those previously obtained for gl(n) by Bracken and Green [A. J. Bracken and H. S. Green, J. Math. Phys. 12, 2099 (1971); H. S. Green, ibid. 12, 2106 (1971)]. (C) 1997 American Institute of Physics.

Comments on the Drinfeld realization of the quantum affine superalgebra U-q[gl(m backslash n)(1)] and its Hopf algebra structure

By generalizing the Reshetikhin and Semenov-Tian-Shansky construction to supersymmetric cases, we obtain the Drinfeld current realization for the quantum affine superalgebra U-q[gl(m\n)((1))]. We find a simple coproduct for the quantum current generators and establish the Hopf algebra structure of this super current algebra.

Automatic construction of explicit R matrices for the one-parameter families of irreducible typical highest weight (0(m)vertical bar alpha(n)) representations of U-q[gl(m vertical bar n)]

We detail the automatic construction of R matrices corresponding to (the tensor products of) the (O-m\alpha(n)) families of highest-weight representations of the quantum superalgebras Uq[gl(m\n)]. These representations are irreducible, contain a free complex parameter a, and are 2(mn)-dimensional. Our R matrices are actually (sparse) rank 4 tensors, containing a total of 2(4mn) components, each of which is in general an algebraic expression in the two complex variables q and a. Although the constructions are straightforward, we describe them in full here, to fill a perceived gap in the literature. As the algorithms are generally impracticable for manual calculation, we have implemented the entire process in MATHEMATICA; illustrating our results with U-q [gl(3\1)]. (C) 2002 Published by Elsevier Science B.V.

A Poincare-Birkhoff-Witt commutator lemma for U-q[gl(m vertical bar n)]

We present and prove in detail a Poincare-Birkhoff-Witt commutator lemma for the quantum superalgebra U-q[gl(m\n)]. (C) 2003 American Institute of Physics.

gl(2 vertical bar 2) current superalgebra and non-unitary conformal field theory

Motivated by application of current superalgebras in the study of disordered systems such as the random XY and Dirac models, we investigate gl(2\2) current superalgebra at general level k. We construct its free field representation and corresponding Sugawara energy-momentum tensor in the non-standard basis. Three screen currents of the first kind are also presented. (C) 2003 Elsevier B.V. All rights reserved.

Link invariants associated with gauge equivalent solutions of the Yang-Baxter equation: The one-parameter family of minimal typical representations of Uq[gl(2|1)]

In this paper we investigate the construction of state models for link invariants using representations of the braid group obtained from various gauge choices for a solution of the trigonometric Yang-Baxter equation. Our results show that it is possible to obtain invariants of regular isotopy (as defined by Kauffman) which may not be ambient isotopic. We illustrate our results with explicit computations using solutions of the trigonometric Yang-Baxter equation associated with the one-parameter family of minimal typical representations of the quantum superalgebra U-q,[gl(2/1)]. We have implemented MATHEMATICA code to evaluate the invariants for all prime knots up to 10 crossings.

Programa de melhoria do atendimento aos usu??rios do ambulat??rio Maria da Gl??ria

Este projeto refere-se ?? implementa????o de um conjunto de a????es destinadas ?? melhoria do atendimento e do ambiente f??sico do ambulat??rio Maria da Gl??ria, no Hospital Escola da Faculdade de Medicina do Tri??ngulo Mineiro, onde s??o atendidos diariamente mais de 1000 usu??rios. Neste mesmo ambiente convivem, aproximadamente, 600 pessoas entre professores, m??dicos, servidores e alunos. Foram realizados treinamentos espec??ficos para a humaniza????o do atendimento ao p??blico, e efetuadas mudan??as no padr??o de cor do Hospital, visando a cria????o de um ambiente mais agrad??vel. Pesquisa realizada junto aos usu??rios constata que o ??ndice de reclama????es do p??blico caiu em torno de 89%

O controlo da tuberculose em Portugal : uma apreciação crítica epidemiológica gl

RESUMO - Com tanto ruído informativo e peças de informação incompletas e descontextualizadas, relativos ao controlo da tuberculose em Portugal, a chegarem ao cidadão e aos profissionais de saúde, não é fácil que eles disponham do conhecimento necessário ao desempenho dos respectivos papéis nesse controlo. O presente artigo pretende contribuir para um ganho real em conhecimento quanto (1) ao progresso no controlo da tuberculose em Portugal, enquadrado na evolução desse controlo noutras regiões pertinentes, e (2) aos aspectos do conhecimento disponível e da intervenção na população portuguesa que suscitem especial atenção, para melhoria no futuro imediato. Tem como estratégia integrar, e elevar ao nível de conhecimento, a informação disponibilizada nas fontes mais credíveis e pertinentes, valorizada no contexto da validade das mesmas fontes e da coerência dos diversos componentes. Relata o resultado de um exercício independente de apreciação crítica, com uma perspectiva epidemiológica. São observados: a situação actual, sobretudo a relativa aos anos de 2006 e 2007, e o desempenho do Programa Nacional de Controlo da Tuberculose (PNT), ambos relativizados à evolução recente e ao panorama internacional. O exercício de observação e revisão independentes baseia-se numa selecção de informação oficial e segue o mesmo método de abordagem que a O.M.S. faz nos seus relatórios anuais, à semelhança de outros exercícios já antes realizados. O controlo da tuberculose tem prosseguido a sua tímida, mas firme, evolução favorável, aproximando-se do nível já conseguido nos países seus vizinhos da Europa Ocidental. Em 2007, Portugal contribuiu para os 9 milhões de casos novos anuais, estimados no mundo, com 2916 casos notificados. A este número corresponde a taxa de incidência notificada de 25,7 por 100 000 habitantes e uma redução de 14% em relação ao ano anterior. Esta evolução afigura-se animadora, ainda que seja desejável um impacte mais acentuado do PNT, conforme é de esperar considerando o grau de desenvolvimento do País. A taxa de detecção de casos novos estimada é elevada e continua uma das melhores da Europa Ocidental — o que desfavorece artificialmente a imagem notificada do País, relativamente aos países com pior capacidade de detecção. A taxa de sucesso terapêutico melhorou de novo, situando- -se acima da meta de 85% preconizada pela O.M.S, para um bom controlo da tuberculose. Uma das consequências importantes é que se consegue um melhor aproveitamento da detecção habitualmente alcançada. O conhecimento no seu conjunto aponta para que o grau de controlo possa e deva realmente ser melhorado, sendo imperiosa a discriminação positiva das áreas geográficas e dos grupos populacionais em que tende a concentrar-se a emergência de maior número de casos e de resistências aos medicamentos. Deverão assim ser reforçados selectivamente tanto os meios de detecção e de intervenção clínica, como a qualidade da organização local da intervenção, para o cumprimento efectivo da estratégia DOTS. Enquanto programa vertical que atravessa os diversos níveis do sistema de cuidados de saúde, o desempenho do PNT sofre os efeitos das atribulações desses serviços, sobretudo os de cuidados primários, funcionando como uma «situação-marcadora» quanto ao desempenho do sistema de saúde. A evidência é de que é nesta primeira linha de cuidados que se decide o sucesso na detecção e no tratamento dos casos de tuberculose, reflectindo-se também aí o grau de desenvolvimento social e os comportamentos das populações, por sua vez determinantes do risco de doença e do sucesso terapêutico. ------------------- ABSTRACT - It is not easy that both the citizen and health professionals get enabled with the required knowledge, in order do play the corresponding roles in the control of tuberculosis, considering all the information noise and incomplete, out of context information pieces about the subject, that reach them. This paper is envisaging to contribute for a real gain in knowledge, regarding: (1) the progress in tuberculosis control in Portugal, framed by the evolution of such control in other pertinent regions and (2) the available knowledge and intervention aspects in the Portuguese population that require a special attention, for improvement. The article’s strategy is to integrate, and raise to a knowledge level, information provided by the most accredited and pertinent sources, interpreted as a function of the validity context of the same sources and of the coherence of the several components. Two aspects are observed: the current situation, in particular concerning years 2006 and 2007, and the performance of the National Programme for the Tuberculosis Control (PNT), both made relative to the recent evolution and to the international panorama. This independent observation and revision exercise is based on a selection of official information and follows the same approach that the World Health Organization (W.H.O.) uses in its annual reports, like other similar exercises previously undertaken. The control of tuberculosis is evolving in a shy, but firm, fashion, getting closer to the level already attained by the neighbor countries, in Western Europe. Portugal has contributed with 2916 new notified cases, to the 9 million annual cases estimated in the world, in 2007. This number corresponds to an incidence rate, for notified cases, of 25.7 per 100000 population, and to a reduction of 14% in one year. Such evolution seems encouraging, although a greater impact of PNT is desirable, as expected in relation to the degree of the Country development. Estimated new cases detection rate is high and keeps being one of the best in Western Europe — and this artificially disadvantages the notified image of the Country, as compared with other countries having a worst detection capacity. Treatment success rate has improved again and it is above the 85% target proposed by W.H.O., so that a good control of the disease is achieved. One of the important consequences is a better use of the attained detection. Altogether, knowledge suggests that the degree of control can and must be in fact better; and that a positive discrimination of geographic areas and population groups, in which a greater number of new cases and drug resistances tend to concentrate, is mandatory. Therefore, either clinical detection and intervention resources, or the quality of the local intervention organization have to be reinforced, if a total fulfillment of DOTS strategy is to be obtained. As a vertical programme that crosses the several levels of the health care system, PNT performance suffers the effects of services tribulations, mainly primary care, thus acting as a «markersituation » as to this system performance. Evidence shows that it is in this first line of care that success in both detection and treatment of tuberculosis cases is decided; and that this level also reveals the degree of social developmen

Eisenstein series for principal congruence subgroups of GL(2,Fq[T])

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