8 resultados para Reflection and Coxeter Groups

em University of Queensland eSpace - Australia


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The historical development, metatheoretical background, and current state of the social identity perspective in social psychology are described. Although originally, an analysis mainly of intergroup relations between large-scale social categories, and more recently an analysis with a strong social cognitive emphasis, this article shows that the social identity perspective is intended to be a general analysis of group membership and group processes. It focuses on the generative relationship between collective self-conception and group phenomena. To demonstrate the relevance of the social identity perspective to small groups, the article describes social identity research in a number of areas: differentiation within groups; leadership; deviance; group decision making; organizations; computer mediated communication; mobilization, collective action, and social loafing; and group culture. These art the areas in which most work has been done and which arc therefore best placed for further developments in the near future.

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The power of individualist and collectivist group norms to influence intergroup and inter-individual differentiation was examined in three studies. Study I revealed that intergroup differentiation was lower when group norms prescribed individualism than when they prescribed collectivism. However inter-individual differentiation was higher when group norms endorsed individualism than when they promoted collectivism. In Studies 2 and 3 we found evidence for the moderating effect of group salience on the relationship between norms and differentiation. Specifically, the effect that individualist group norms reduced intergroup differentiation but enhanced inter-individual differentiation was more pronounced when group salience was high rather than low. This finding demonstrates that conformity to a group norm prescribing individualism influences the manner in which positive differentiation is expressed. The discussion focuses on the caveats of introducing individualist group norms when attempting to reduce intergroup differentiation. Copyright (c) 2006 John Wiley & Sons, Ltd.

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We introduce a general Hamiltonian describing coherent superpositions of Cooper pairs and condensed molecular bosons. For particular choices of the coupling parameters, the model is integrable. One integrable manifold, as well as the Bethe ansatz solution, was found by Dukelsky et al. [J. Dukelsky, G.G. Dussel, C. Esebbag, S. Pittel, Phys. Rev. Lett. 93 (2004) 050403]. Here we show that there is a second integrable manifold, established using the boundary quantum inverse scattering method. In this manner we obtain the exact solution by means of the algebraic Bethe ansatz. In the case where the Cooper pair energies are degenerate we examine the relationship between the spectrum of these integrable Hamiltonians and the quasi-exactly solvable spectrum of particular Schrodinger operators. For the solution we derive here the potential of the Schrodinger operator is given in terms of hyperbolic functions. For the solution derived by Dukelsky et al., loc. cit. the potential is sextic and the wavefunctions obey PT-symmetric boundary conditions. This latter case provides a novel example of an integrable Hermitian Hamiltonian acting on a Fock space whose states map into a Hilbert space of PE-symmetric wavefunctions defined on a contour in the complex plane. (c) 2006 Elsevier B.V. All rights reserved.