Leibniz algebras constructed by Witt algebras
L.M. CamachoDpto. Matemática Aplicada I., Universidad de Sevilla, Sevilla, SpainB. A. OmirovDepartment of Algebra and Functional Analysis, National University of Uzbekistan, Tashkent, UzbekistanT. K. KurbanbaevInstitute of Mathematics of Uzbek Academy of Sciences, Tashkent, Uzbekistan
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We describe infinite-dimensional Leibniz algebras whose associated Lie algebra is the Witt algebra and we prove the triviality of low-dimensional Leibniz cohomology groups of the Witt algebra with the coefficients in itself.
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