52,498 research outputs found

    Off-shell Bethe vectors and Drinfeld currents

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    In this paper we compare two constructions of weight functions (off-shell Bethe vectors) for the quantum affine algebra Uq(gl^N)U_q(\hat{\mathfrak{gl}}_N). The first construction comes from the algebraic nested Bethe ansatz. The second one is defined in terms of certain projections of products of Drinfeld currents. We show that two constructions give the same result in tensor products of vector representations of Uq(gl^N)U_q(\hat{\mathfrak{gl}}_N).Comment: 25 pages, misprints correcte

    Why has China grown so fast? The role of physical and human capital formation

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    Cross-province growth regressions for China are estimated for the reform period. Two research questions are asked. Can the regressions help us to understand why China as a whole has grown so fast? What types of investment matter for China's growth? We address the problem of model uncertainty by adopting two approaches to model selection to consider a wide range of candidate predictors of growth. Starting from the baseline equation, the growth impact of physical and human capital is examined using panel data techniques. Both forms of capital promote economic growth. ‘Investment in innovation’ and private investment are found to be particularly important. Secondary school enrolment contributes to growth, and higher education enrolment even more so

    Weight function for the quantum affine algebra Uq(A2(2))U_q(A_2^{(2)})

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    In this article, we give an explicit formula for the universal weight function of the quantum twisted affine algebra Uq(A2(2))U_q(A_2^{(2)}). The calculations use the technique of projecting products of Drinfeld currents onto the intersection of Borel subalgebras of different types.Comment: 25 page

    Weight function for the quantum affine algebra Uq(sl^3)U_q(\hat{sl}_3)

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    We give a precise expression for the universal weight function of the quantum affine algebra Uq(sl^3)U_q(\hat{sl}_3). The calculations use the technique of projecting products of Drinfeld currents on the intersections of Borel subalgebras.Comment: 28 page
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