Leibniz algebras associated with some finite-dimensional representation of Diamond Lie algebra
L.M. CamachoDepartamento de Matemática Aplicada I, Universidad de Sevilla, Avda. Reina Mercedes, s/n, 41012 Sevilla, SpainM. LadraDepartment of Algebra, University of Santiago de Compostela, 15782, Santiago de Compostela, SpainI. A. KarimjanovDepartment of Algebra, University of Santiago de Compostela, 15782, Santiago de Compostela, SpainB. A. OmirovInstitute of Mathematics, National University of Uzbekistan, Dormon Yoli str. 29, 100125, Tashkent, Uzbekistan
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Аннотация
In this paper we classify Leibniz algebras whose associated Lie algebra is four-dimensional Diamond Lie algebra and the ideal generated by squares of elements is represented by one of the finite-dimensional indecomposable D-modules Un1, Un2 or Wn1 or Wn2.
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