Solvable Leibniz superalgebras whose nilradical is a Lie superalgebra of maximal nilindex

Authors

Abror Khudoyberdiyev, National University of Uzbekistan; Institute of Mathematics, Uzbekistan Academy of ScienceFollow
Manuel Ladra, University of Santiago de CompostelaFollow
Khosiat Muratova, Institute of Mathematics, Uzbekistan Academy of ScienceFollow

Abstract

In this paper, we investigate solvable Leibniz superalgebras whose nilradical is a Lie superalgebra with maximal nilindex.It should be noted that Lie superalgebra with a maximal nilindex only exists in the variety of Lie_2,m when m is odd. We give the classification of all solvable Leibniz superalgebras such that even part is a Lie algebra and nilradical is a Lie superalgebra with a maximal index of nilpotency.

First Page

52

Last Page

68

References

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Recommended Citation

Khudoyberdiyev, Abror; Ladra, Manuel; and Muratova, Khosiat (2019) "Solvable Leibniz superalgebras whose nilradical is a Lie superalgebra of maximal nilindex," Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences: Vol. 2: Iss. 1, Article 4.
DOI: https://doi.org/10.56017/2181-1318.1019