Leibniz algebras associated with some finite-dimensional representation of Diamond Lie algebra

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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Bibliographic Details
Published in:Journal of physics. Conference series 2016-03, Vol.697 (1), p.12006
Main Authors: Camacho, Luisa M., Ladra, Manuel, Karimjanov, Iqboljon A., Omirov, Bakhrom A.
Format: Article
Language:English
Subjects:
Algebra
Diamonds
Lie groups
Physics
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Description
Summary: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.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/697/1/012006