Hom-Gel'fand–Dorfman Super-bialgebras and Hom-Lie Conformal Superalgebras |
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基金项目: | Supported by National Natural Science Foundation grants of China (Grant No. 11301109) and the Research Fund for the Doctoral Program of Higher Education (Grant No. 20132302120042) |
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摘 要: | The aim of this paper is to introduce and study Hom-Gel'fand–Dorfman super-bialgebras and Hom-Lie conformal superalgebras. In this paper, we provide different ways for constructing HomGel'fand–Dorfman super-bialgebras. Also, we obtain some infinite-dimensional Hom-Lie superalgebras from affinization of Hom-Gel'fand–Dorfman super-bialgebras. Finally, we give a general construction of Hom-Lie conformal superalgebras from Hom-Lie superalgebras and establish the equivalence between quadratic Hom-Lie conformal superalgebras and Hom-Gel'fand–Dorfman super-bialgebras.
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