Energy and angular momentum of the gravitational field in the teleparallel geometry

The Hamiltonian formulation of the teleparallel equivalent of general relativity is considered. Definitions of energy, momentum and angular momentum of the gravitational field arise from the integral form of the constraint equations of the theory. In particular, the gravitational energy-momentum is given by the integral of scalar densities over a three-dimensional spacelike hypersurface. The definition for the gravitational energy is investigated in the context of the Kerr black hole. In the evaluation of the energy contained within the external event horizon of the Kerr black hole, we obtain a value strikingly close to the irreducible mass of the latter. The gravitational angular momentum is evaluated for the gravitational field of a thin, slowly rotating mass shell. © 2002 The American Physical Society.

A dimension formula for reduced plethysms

The boson calculus formalism is used to construct realizations of basis states of irreducible representations of unitary groups taking as a paradigm the interacting boson models of atomic nuclei. These realizations, together with a theorem on plethysms for obtaining branching rules, allowed us to obtain a dimension formula for reduced plethysms. © 2005 IOP Publishing Ltd.

Aspectos dinâmicos e ergódicos dos intercâmbios de intervalos

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Campos de vetores lineares reversíveis equivariantes

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

Psicanálise, antropologia e alteridade: apontamentos para um debate

Este trabalho trata da temática da alteridade, tomando-a como mote para um diálogo entre a psicanálise e a antropologia. Neste sentido, a partir de uma incursão pela noção de estrangeiro na obra de Freud, enfatiza a ideia de que a diferença imposta pelo inconsciente é dona de uma narrativa e de uma temporalidade particulares que se recusam a obedecer aos ditames do pensamento representacional. Em decorrência disto, a estranheza e a negatividade do encontro analítico aparecem como lugares do possível, ampliando o conceito de alteridade e as capacidades da interpretação, agora um meio-termo entre a produção de sentido e a experiência do vazio. Eis a lição da não lição proposta por este inquietante outro do inconsciente à antropologia e, em maior escala, às ciências sociais: admitir a possibilidade do sentido, mas não necessariamente o seu encerramento, fornecendo assim uma expressão menos comprometida a um estrangeiro agora irredutível a códigos preestabelecidos.

Polinômios irredutíveis: critérios e aplicações

Pós-graduação em Matemática em Rede Nacional - IBILCE

As motivações invisíveis da emigração dekassegui ao Japão

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

A decoding procedure which improves code rate and error corrections

Corresponding to $C_{0}[n,n-r]$, a binary cyclic code generated by a primitive irreducible polynomial $p(X)\in \mathbb{F}_{2}[X]$ of degree $r=2b$, where $b\in \mathbb{Z}^{+}$, we can constitute a binary cyclic code $C[(n+1)^{3^{k}}-1,(n+1)^{3^{k}}-1-3^{k}r]$, which is generated by primitive irreducible generalized polynomial $p(X^{\frac{1}{3^{k}}})\in \mathbb{F}_{2}[X;\frac{1}{3^{k}}\mathbb{Z}_{0}]$ with degree $3^{k}r$, where $k\in \mathbb{Z}^{+}$. This new code $C$ improves the code rate and has error corrections capability higher than $C_{0}$. The purpose of this study is to establish a decoding procedure for $C_{0}$ by using $C$ in such a way that one can obtain an improved code rate and error-correcting capabilities for $C_{0}$.

A escuta musical no Monismo de Triplo Aspecto

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Anomalous couplings in e(+)e(-)->W+W- gamma at CERN LEP 2 and NLC

We present sensitivity limits on the coefficients of a dimension-6 effective Lagrangian that parametrizes the possible effects of new physics beyond the standard model. Our results are based on the study of the process e(+)e(-)-->W+W- y at CERN LEP 2 and NLC energies. In our calculations, we include all the new anomalous interactions, involving vectors and Higgs bosons, and take into account the standard model irreducible background. We analyze the impact of these new interactions on the total cross section. including the effects of the initial electron and final W polarizations. We then focus on the operators that will not be constrained by the e(+)e(-)-->W+W- process, obtaining limits based on the photon energy distribution.

Orthogonality relations and supercharacter formulas of U(m vertical bar n) representations

In this paper we obtain the orthogonality relations for the supergroup U(m|n), which are remarkably different from the ones for the U(N) case. We extend our results for ordinary representations, obtained some time ago, to the case of complex conjugated and mixed representations. Our results are expressed in terms of the Young tableaux notation for irreducible representations. We use the supersymmetric Harish-Chandra-Itzykson-Zuber integral and the character expansion technique as mathematical tools for deriving these relations. As a byproduct we also obtain closed expressions for the supercharacters and dimensions of some particular irreducible U(m|n) representations. A new way of labeling the U(m|n) irreducible representations in terms of m + n numbers is proposed. Finally, as a corollary of our results, new identities among the dimensions of the irreducible representations of the unitary group U(N) are presented. © 1997 American Institute of Physics.

Anomalous Higgs boson contribution to e(+)e(-)->b(b)over-bar gamma at CERN LEP 2

We study the effect of anomalous Hγγ and HZγ couplings, described by a general effective Lagrangian, on the process e+e-→bb̄γ at CERN LEP 2 energies. We include the relevant irreducible standard model background to this process, and from the photon energy spectrum, we determine the reach of LEP 2 to unravel the anomalous couplings by analyzing the significance of the signal for a Higgs boson with a mass up to 150 GeV.

Levinas e a reconstrução da subjetividade ética aproximações com o campo da educação

Este artigo tem por objetivo discutir o conceito de subjetividade em sua relação com a alteridade em educação, com base no pensamento filosófico de Emanuel Levinas. Inicialmente, apresenta a discussão da subjetividade na filosofia moderna e sua forma de concebê-la como ideal de sujeito livre e soberano. Em seguida, desenvolve uma análise crítica que problematiza a pretensa soberania do sujeito e reconstrói uma nova subjetividade ética, situada na condição de refém, capaz de acolher a irredutível alteridade do Outro enquanto ideia do infinito. No contexto de reconstrução da subjetividade, o estudo estabelece aproximações com o campo da educação, destacando a experiência educativa como um acontecimento ético por excelência.

Higher identities for the ternary commutator

We use computer algebra to study polynomial identities for the trilinear operation [a, b, c] = abc - acb - bac + bca + cab - cba in the free associative algebra. It is known that [a, b, c] satisfies the alternating property in degree 3, no new identities in degree 5, a multilinear identity in degree 7 which alternates in 6 arguments, and no new identities in degree 9. We use the representation theory of the symmetric group to demonstrate the existence of new identities in degree 11. The only irreducible representations of dimension <400 with new identities correspond to partitions 2(5), 1 and 2(4), 1(3) and have dimensions 132 and 165. We construct an explicit new multilinear identity for partition 2(5), 1 and we demonstrate the existence of a new non-multilinear identity in which the underlying variables are permutations of a(2)b(2)c(2)d(2)e(2) f.

Localizability in de Sitter space

An analogue of the Newton-Wigner position operator is defined for a massive neutral scalar field in de Sitter space. The one-particle subspace of the theory, consisting of positive-energy solutions of the Klein-Gordon equation selected by the Hadamard condition, is identified with an irreducible representation of the de Sitter group. Postulates of localizability analogous to those written by Wightman for fields in Minkowski space are formulated on it, and a unique solution is shown to exist. Representations in both the principal and the complementary series are considered. A simple expression for the time evolution of the Newton-Wigner operator is presented.