零根是极大零指数的李超代数的可解莱布尼茨超代数

Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences Pub Date : 2019-03-25 DOI:10.56017/2181-1318.1019

A. Khudoyberdiyev, M. Ladra, Kh. A. Muratova

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引用次数: 1

摘要

研究了零根为极大零指数李超代数的可解莱布尼兹超代数。需要注意的是，具有极大零指数的李超代数只存在于当m为奇数时，Lie2,m的变化中。给出了所有可解莱布尼兹超代数的分类，使得偶数部分是李代数，零根是一个极大幂零指数的李超代数。

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

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 Lie2,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.

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Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences

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