3,405 research outputs found

    Universal R-matrix Of The Super Yangian Double DY(gl(1|1))

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    Based on Drinfeld realization of super Yangian Double DY(gl(1|1)), its pairing relations and universal R-matrix are given. By taking evaluation representation of universal R-matrix, another realization L±(u)L^{\pm}(u) of DY(gl(1|1)) is obtained. These two realizations of DY(gl(1|1)) are related by the supersymmetric extension of Ding-Frenkel map.Comment: 6 pages, latex, no figure

    Layout optimization for multi-bi-modulus materials system under multiple load cases

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    Financial support from the National Natural Science Foundation of China (Grant No. 51179164) and the Australian Research Council (Grant No. DP140103137) is acknowledged

    The Algebraic Structure of the gl(n∣m)gl(n|m) Color Calogero-Sutherland Models

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    We extend the study on the algebraic structure of the su(n)su(n) color Calogero-Sutherland models to the case of gl(n∣m)gl(n|m) color CS model and show that the generators of the super-Yangian Y(gl(n∣m))Y(gl(n|m)) can be obtained from two gl(n∣m)gl(n|m) loop algebras. Also, a super W∞W_{\infty} algebra for the SUSY CS model is constructed.Comment: LaTeX, 13 page
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