会议论文详细信息
Algebra, Analysis and Quantum Probability
Leibniz algebras associated with some finite-dimensional representation of Diamond Lie algebra
Camacho, Luisa M.^1 ; Ladra, Manuel^2 ; Karimjanov, Iqboljon A.^2 ; Omirov, Bakhrom A.^3
Departamento de Matemática Aplicada i, Universidad de Sevilla, Avda. Reina Mercedes, s/n, Sevilla
41012, Spain^1
Department of Algebra, University of Santiago de Compostela, Santiago de Compostela
15782, Spain^2
Institute of Mathematics, National University of Uzbekistan, Dormon Yoli str. 29, Tashkent
100125, Uzbekistan^3
关键词: D-modules;    Finite dimensional;    Leibniz algebras;    Lie Algebra;   
Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/697/1/012006/pdf
DOI  :  10.1088/1742-6596/697/1/012006
来源: IOP
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【 摘 要 】

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, Un2or Wn1or Wn2.

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