21,137 research outputs found

    Orthosymplectic Jordan superalgebras and the Wedderburn principal theorem (WPT)

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    An analogue of the Wedderbur principal theorem (WPT) is considered for finite dimensional Jordan superalgebras A with solvable radical N, such that N^2=0 and A/N is isomorphic to Josp_n|2m(F), where F is an algebraicallly closed field of characteristic zero. Let's we prove that the WPT is valid under some restrictions over the irreducible Josp_n|2m(F)-bimodules contained in N, and it is shown with counter-examples that these restrictions can not be weakened.Comment: 13 page

    A virtual element method for the vibration problem of Kirchhoff plates

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    The aim of this paper is to develop a virtual element method (VEM) for the vibration problem of thin plates on polygonal meshes. We consider a variational formulation relying only on the transverse displacement of the plate and propose an H2(Ω)H^2(\Omega) conforming discretization by means of the VEM which is simple in terms of degrees of freedom and coding aspects. Under standard assumptions on the computational domain, we establish that the resulting schemeprovides a correct approximation of the spectrum and prove optimal order error estimates for the eigenfunctions and a double order for the eigenvalues. The analysis restricts to simply connected polygonal clamped plates, not necessarily convex. Finally, we report several numerical experiments illustrating the behaviour of the proposed scheme and confirming our theoretical results on different families of meshes. Additional examples of cases not covered by our theory are also presented

    CHINA´S INCREASING ECONOMY AND THE IMPACTS ON ITS ENERGY STRATEGY

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    This work enters into the topic of one of the world´s most increasing economy, the economy of China. It will treat the question, how a country, hence a political system which was such closed and had a quite small economical standard and growth rate was able to improve in a tremendous way. This present fact discovers various questions, such like: How is it possible that a closed socialist state can improve its economical increase and international trade in a tremendous way? How is an increase in trade and production combined with energy consumption? How can China secure its energy sources in order to secure its production and energy household? The document starts with the theory of free trade to step into that topic.Energy consumption, socialist market economy, natural resources, global economy.

    Twisted K-Theory for the Orbifold [*/G]

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    We study the relationship between the twisted Orbifold K-theories {^{\alpha}}K_{orb}(\textsl{X}) and {^{\alpha'}}K_{orb}(\textsl{Y}) for two different twists αZ3(G;S1)\alpha\in Z^3(G;S^1) and αZ3(G;S1)\alpha'\in Z^3(G';S^1) of the Orbifolds \textsl{X}=[*/G] and \textsl{Y}=[*/G'] respectively, for GG and GG' finite groups. We prove that under suitable hypothesis over the twisting α\alpha' and the group GG' we obtain an isomorphism between these twisted K-theories.Comment: version accepted in Pacific Journal of Mathematic
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